Abstract group data - 240.82

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• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '120.31', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 4, 'aut_gen_orders': [2, 2, 2, 2, 4, 4], 'aut_gens': [[1, 2, 8], [1, 2, 232], [1, 126, 88], [5, 2, 8], [1, 122, 152], [121, 6, 136], [125, 123, 88]], 'aut_group': '256.27015', 'aut_hash': 27015, 'aut_nilpotency_class': 2, 'aut_nilpotent': True, 'aut_order': 256, 'aut_permdeg': 14, 'aut_perms': [1, 19239897727, 12936672001, 20717187246, 27909186889, 45200700847], 'aut_phi_ratio': 4.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [3, 1, 2, 1], [4, 2, 4, 1], [5, 1, 4, 1], [6, 1, 2, 1], [6, 1, 4, 1], [6, 2, 4, 1], [10, 1, 4, 1], [10, 1, 8, 1], [10, 2, 8, 1], [12, 2, 8, 1], [15, 1, 8, 1], [20, 2, 16, 1], [30, 1, 8, 1], [30, 1, 16, 1], [30, 2, 16, 1], [60, 2, 32, 1]], 'aut_supersolvable': True, 'aut_tex': 'C_2^3.C_2^5', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '128.2319', 'autcent_hash': 2319, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^5\\times C_4', 'autcentquo_abelian': True, 'autcentquo_cyclic': True, 'autcentquo_exponent': 2, 'autcentquo_group': '2.1', 'autcentquo_hash': 1, 'autcentquo_nilpotent': True, 'autcentquo_order': 2, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [3, 1, 2], [4, 2, 4], [5, 1, 4], [6, 1, 6], [6, 2, 4], [10, 1, 12], [10, 2, 8], [12, 2, 8], [15, 1, 8], [20, 2, 16], [30, 1, 24], [30, 2, 16], [60, 2, 32]], 'center_label': '60.13', 'center_order': 60, 'central_product': True, 'central_quotient': '4.2', 'commutator_count': 1, 'commutator_label': '2.1', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '5.1'], 'composition_length': 6, 'conjugacy_classes_known': True, 'counter': 82, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['16.3', 1], ['3.1', 1], ['5.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [3, 1, 2, 1], [4, 2, 2, 2], [5, 1, 4, 1], [6, 1, 2, 3], [6, 2, 2, 2], [10, 1, 4, 3], [10, 2, 4, 2], [12, 2, 4, 2], [15, 1, 8, 1], [20, 2, 8, 2], [30, 1, 8, 3], [30, 2, 8, 2], [60, 2, 16, 2]], 'element_repr_type': 'PC', 'elementary': 2, 'eulerian_function': 72, 'exponent': 60, 'exponents_of_order': [4, 1, 1], 'factors_of_aut_order': [2], 'factors_of_order': [2, 3, 5], 'faithful_reps': [], 'familial': False, 'frattini_label': '4.2', 'frattini_quotient': '60.13', 'hash': 82, 'hyperelementary': 2, 'inner_abelian': True, 'inner_cyclic': False, 'inner_exponent': 2, 'inner_gen_orders': [2, 2, 1], 'inner_gens': [[1, 122, 8], [121, 2, 8], [1, 2, 8]], 'inner_hash': 2, 'inner_nilpotent': True, 'inner_order': 4, 'inner_split': True, 'inner_tex': 'C_2^2', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 120], [2, 30]], 'label': '240.82', 'linC_count': 1536, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 10, 'linQ_degree_count': 120, 'linQ_dim': 10, 'linQ_dim_count': 120, 'linR_count': 32, 'linR_degree': 4, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C2^2:C60', 'ngens': 6, 'nilpotency_class': 2, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 20, 'number_conjugacy_classes': 150, 'number_divisions': 32, 'number_normal_subgroups': 44, 'number_subgroup_autclasses': 44, 'number_subgroup_classes': 68, 'number_subgroups': 92, 'old_label': None, 'order': 240, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 8], [5, 4], [6, 14], [10, 28], [12, 16], [15, 8], [20, 32], [30, 56], [60, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 4, 4], 'outer_gen_pows': [0, 0, 0, 0], 'outer_gens': [[1, 2, 232], [5, 2, 88], [1, 2, 184], [125, 3, 8]], 'outer_group': '64.196', 'outer_hash': 196, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 10, 'outer_perms': [368056, 134, 1169296, 367929], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_4^2:C_2^2', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 16, 'pgroup': 0, 'primary_abelian_invariants': [2, 4, 3, 5], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 8], [4, 8], [8, 8], [16, 4]], 'representations': {'PC': {'code': 1306472486724149255, 'gens': [1, 2, 4], 'pres': [6, -2, -2, -2, -2, -3, -5, 1465, 31, 69, 118]}, 'GLZN': {'d': 2, 'p': 30, 'gens': [792019, 40966, 297011, 27181, 630313, 513019]}, 'Perm': {'d': 16, 'gens': [6920136115200, 1314028759680, 10080, 96, 2789792409600, 1313941668480]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 60], 'solvability_type': 4, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_2^2:C_{60}', 'transitive_degree': 120, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 98211288
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 82, 'group_order': 240, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 98211350
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 82, 'group_order': 240, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 120, 'size': 1}
  • id: 98211361
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 82, 'group_order': 240, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 4, 'size': 1}
  • id: 98211372
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 82, 'group_order': 240, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 124, 'size': 1}
  • id: 98211383
    {'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 82, 'group_order': 240, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 1, 'size': 2}
  • id: 98211394
    {'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 82, 'group_order': 240, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 5, 'size': 2}
  • id: 98211405
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 7, 'group_counter': 82, 'group_order': 240, 'label': '3A1', 'order': 3, 'powers': [8, 1, 8], 'representative': 80, 'size': 1}
  • id: 98211416
    {'aut_label': '3A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 82, 'group_order': 240, 'label': '3A-1', 'order': 3, 'powers': [7, 1, 7], 'representative': 160, 'size': 1}
  • id: 98211427
    {'aut_label': '4A1', 'centralizer': '2.b1.a1', 'counter': 9, 'group_counter': 82, 'group_order': 240, 'label': '4A1', 'order': 4, 'powers': [3, 10, 9], 'representative': 6, 'size': 2}
  • id: 98211289
    {'aut_label': '4A1', 'centralizer': '2.b1.a1', 'counter': 10, 'group_counter': 82, 'group_order': 240, 'label': '4A-1', 'order': 4, 'powers': [3, 9, 10], 'representative': 2, 'size': 2}
  • id: 98211300
    {'aut_label': '4A1', 'centralizer': '2.b1.b1', 'counter': 11, 'group_counter': 82, 'group_order': 240, 'label': '4B1', 'order': 4, 'powers': [4, 12, 11], 'representative': 127, 'size': 2}
  • id: 98211311
    {'aut_label': '4A1', 'centralizer': '2.b1.b1', 'counter': 12, 'group_counter': 82, 'group_order': 240, 'label': '4B-1', 'order': 4, 'powers': [4, 11, 12], 'representative': 3, 'size': 2}
  • id: 98211322
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 13, 'group_counter': 82, 'group_order': 240, 'label': '5A1', 'order': 5, 'powers': [15, 16, 1], 'representative': 48, 'size': 1}
  • id: 98211333
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 14, 'group_counter': 82, 'group_order': 240, 'label': '5A-1', 'order': 5, 'powers': [16, 15, 1], 'representative': 192, 'size': 1}
  • id: 98211344
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 15, 'group_counter': 82, 'group_order': 240, 'label': '5A2', 'order': 5, 'powers': [14, 13, 1], 'representative': 96, 'size': 1}
  • id: 98211346
    {'aut_label': '5A1', 'centralizer': '1.a1.a1', 'counter': 16, 'group_counter': 82, 'group_order': 240, 'label': '5A-2', 'order': 5, 'powers': [13, 14, 1], 'representative': 144, 'size': 1}
  • id: 98211347
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 17, 'group_counter': 82, 'group_order': 240, 'label': '6A1', 'order': 6, 'powers': [7, 2, 18], 'representative': 40, 'size': 1}
  • id: 98211348
    {'aut_label': '6A1', 'centralizer': '1.a1.a1', 'counter': 18, 'group_counter': 82, 'group_order': 240, 'label': '6A-1', 'order': 6, 'powers': [8, 2, 17], 'representative': 200, 'size': 1}
  • id: 98211349
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 19, 'group_counter': 82, 'group_order': 240, 'label': '6B1', 'order': 6, 'powers': [7, 3, 20], 'representative': 164, 'size': 1}
  • id: 98211351
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 20, 'group_counter': 82, 'group_order': 240, 'label': '6B-1', 'order': 6, 'powers': [8, 3, 19], 'representative': 84, 'size': 1}
  • id: 98211352
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 21, 'group_counter': 82, 'group_order': 240, 'label': '6C1', 'order': 6, 'powers': [7, 4, 22], 'representative': 44, 'size': 1}
  • id: 98211353
    {'aut_label': '6B1', 'centralizer': '1.a1.a1', 'counter': 22, 'group_counter': 82, 'group_order': 240, 'label': '6C-1', 'order': 6, 'powers': [8, 4, 21], 'representative': 204, 'size': 1}
  • id: 98211354
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 82, 'group_order': 240, 'label': '6D1', 'order': 6, 'powers': [8, 5, 24], 'representative': 81, 'size': 2}
  • id: 98211355
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 82, 'group_order': 240, 'label': '6D-1', 'order': 6, 'powers': [7, 5, 23], 'representative': 161, 'size': 2}
  • id: 98211356
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 82, 'group_order': 240, 'label': '6E1', 'order': 6, 'powers': [8, 6, 26], 'representative': 85, 'size': 2}
  • id: 98211357
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 82, 'group_order': 240, 'label': '6E-1', 'order': 6, 'powers': [7, 6, 25], 'representative': 165, 'size': 2}
  • id: 98211358
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 27, 'group_counter': 82, 'group_order': 240, 'label': '10A1', 'order': 10, 'powers': [13, 29, 2], 'representative': 24, 'size': 1}
  • id: 98211359
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 28, 'group_counter': 82, 'group_order': 240, 'label': '10A-1', 'order': 10, 'powers': [14, 30, 2], 'representative': 216, 'size': 1}
  • id: 98211360
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 82, 'group_order': 240, 'label': '10A3', 'order': 10, 'powers': [16, 28, 2], 'representative': 72, 'size': 1}
  • id: 98211362
    {'aut_label': '10A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 82, 'group_order': 240, 'label': '10A-3', 'order': 10, 'powers': [15, 27, 2], 'representative': 168, 'size': 1}
  • id: 98211363
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 82, 'group_order': 240, 'label': '10B1', 'order': 10, 'powers': [14, 33, 3], 'representative': 100, 'size': 1}
  • id: 98211364
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 82, 'group_order': 240, 'label': '10B-1', 'order': 10, 'powers': [13, 34, 3], 'representative': 148, 'size': 1}
  • id: 98211365
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 82, 'group_order': 240, 'label': '10B3', 'order': 10, 'powers': [15, 32, 3], 'representative': 52, 'size': 1}
  • id: 98211366
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 82, 'group_order': 240, 'label': '10B-3', 'order': 10, 'powers': [16, 31, 3], 'representative': 196, 'size': 1}
  • id: 98211367
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 82, 'group_order': 240, 'label': '10C1', 'order': 10, 'powers': [14, 37, 4], 'representative': 220, 'size': 1}
  • id: 98211368
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 82, 'group_order': 240, 'label': '10C-1', 'order': 10, 'powers': [13, 38, 4], 'representative': 28, 'size': 1}
  • id: 98211369
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 37, 'group_counter': 82, 'group_order': 240, 'label': '10C3', 'order': 10, 'powers': [15, 36, 4], 'representative': 172, 'size': 1}
  • id: 98211370
    {'aut_label': '10B1', 'centralizer': '1.a1.a1', 'counter': 38, 'group_counter': 82, 'group_order': 240, 'label': '10C-3', 'order': 10, 'powers': [16, 35, 4], 'representative': 76, 'size': 1}
  • id: 98211371
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 82, 'group_order': 240, 'label': '10D1', 'order': 10, 'powers': [15, 41, 5], 'representative': 49, 'size': 2}
  • id: 98211373
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 82, 'group_order': 240, 'label': '10D-1', 'order': 10, 'powers': [16, 42, 5], 'representative': 193, 'size': 2}
  • id: 98211374
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 82, 'group_order': 240, 'label': '10D3', 'order': 10, 'powers': [13, 40, 5], 'representative': 145, 'size': 2}
  • id: 98211375
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 82, 'group_order': 240, 'label': '10D-3', 'order': 10, 'powers': [14, 39, 5], 'representative': 97, 'size': 2}
  • id: 98211376
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 82, 'group_order': 240, 'label': '10E1', 'order': 10, 'powers': [15, 45, 6], 'representative': 53, 'size': 2}
  • id: 98211377
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 82, 'group_order': 240, 'label': '10E-1', 'order': 10, 'powers': [16, 46, 6], 'representative': 197, 'size': 2}
  • id: 98211378
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 82, 'group_order': 240, 'label': '10E3', 'order': 10, 'powers': [13, 44, 6], 'representative': 149, 'size': 2}
  • id: 98211379
    {'aut_label': '10D1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 82, 'group_order': 240, 'label': '10E-3', 'order': 10, 'powers': [14, 43, 6], 'representative': 101, 'size': 2}
  • id: 98211380
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 47, 'group_counter': 82, 'group_order': 240, 'label': '12A1', 'order': 12, 'powers': [19, 9, 49], 'representative': 82, 'size': 2}
  • id: 98211381
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 48, 'group_counter': 82, 'group_order': 240, 'label': '12A-1', 'order': 12, 'powers': [20, 10, 50], 'representative': 166, 'size': 2}
  • id: 98211382
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 49, 'group_counter': 82, 'group_order': 240, 'label': '12A5', 'order': 12, 'powers': [20, 9, 47], 'representative': 162, 'size': 2}
  • id: 98211384
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 50, 'group_counter': 82, 'group_order': 240, 'label': '12A-5', 'order': 12, 'powers': [19, 10, 48], 'representative': 86, 'size': 2}
  • id: 98211385
    {'aut_label': '12A1', 'centralizer': '2.b1.b1', 'counter': 51, 'group_counter': 82, 'group_order': 240, 'label': '12B1', 'order': 12, 'powers': [21, 11, 53], 'representative': 83, 'size': 2}
  • id: 98211386
    {'aut_label': '12A1', 'centralizer': '2.b1.b1', 'counter': 52, 'group_counter': 82, 'group_order': 240, 'label': '12B-1', 'order': 12, 'powers': [22, 12, 54], 'representative': 47, 'size': 2}
  • id: 98211387
    {'aut_label': '12A1', 'centralizer': '2.b1.b1', 'counter': 53, 'group_counter': 82, 'group_order': 240, 'label': '12B5', 'order': 12, 'powers': [22, 11, 51], 'representative': 163, 'size': 2}
  • id: 98211388
    {'aut_label': '12A1', 'centralizer': '2.b1.b1', 'counter': 54, 'group_counter': 82, 'group_order': 240, 'label': '12B-5', 'order': 12, 'powers': [21, 12, 52], 'representative': 207, 'size': 2}
  • id: 98211389
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 55, 'group_counter': 82, 'group_order': 240, 'label': '15A1', 'order': 15, 'powers': [57, 13, 7], 'representative': 16, 'size': 1}
  • id: 98211390
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 56, 'group_counter': 82, 'group_order': 240, 'label': '15A-1', 'order': 15, 'powers': [58, 14, 8], 'representative': 224, 'size': 1}
  • id: 98211391
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 57, 'group_counter': 82, 'group_order': 240, 'label': '15A2', 'order': 15, 'powers': [59, 15, 8], 'representative': 32, 'size': 1}
  • id: 98211392
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 58, 'group_counter': 82, 'group_order': 240, 'label': '15A-2', 'order': 15, 'powers': [60, 16, 7], 'representative': 208, 'size': 1}
  • id: 98211393
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 59, 'group_counter': 82, 'group_order': 240, 'label': '15A4', 'order': 15, 'powers': [62, 14, 7], 'representative': 64, 'size': 1}
  • id: 98211395
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 60, 'group_counter': 82, 'group_order': 240, 'label': '15A-4', 'order': 15, 'powers': [61, 13, 8], 'representative': 176, 'size': 1}
  • id: 98211396
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 61, 'group_counter': 82, 'group_order': 240, 'label': '15A7', 'order': 15, 'powers': [56, 15, 7], 'representative': 112, 'size': 1}
  • id: 98211397
    {'aut_label': '15A1', 'centralizer': '1.a1.a1', 'counter': 62, 'group_counter': 82, 'group_order': 240, 'label': '15A-7', 'order': 15, 'powers': [55, 16, 8], 'representative': 128, 'size': 1}
  • id: 98211398
    {'aut_label': '20A1', 'centralizer': '2.b1.a1', 'counter': 63, 'group_counter': 82, 'group_order': 240, 'label': '20A1', 'order': 20, 'powers': [31, 65, 9], 'representative': 54, 'size': 2}
  • id: 98211399
    {'aut_label': '20A1', 'centralizer': '2.b1.a1', 'counter': 64, 'group_counter': 82, 'group_order': 240, 'label': '20A-1', 'order': 20, 'powers': [32, 66, 10], 'representative': 194, 'size': 2}
  • id: 98211400
    {'aut_label': '20A1', 'centralizer': '2.b1.a1', 'counter': 65, 'group_counter': 82, 'group_order': 240, 'label': '20A3', 'order': 20, 'powers': [33, 69, 10], 'representative': 146, 'size': 2}
  • id: 98211401
    {'aut_label': '20A1', 'centralizer': '2.b1.a1', 'counter': 66, 'group_counter': 82, 'group_order': 240, 'label': '20A-3', 'order': 20, 'powers': [34, 70, 9], 'representative': 102, 'size': 2}
  • id: 98211402
    {'aut_label': '20A1', 'centralizer': '2.b1.a1', 'counter': 67, 'group_counter': 82, 'group_order': 240, 'label': '20A7', 'order': 20, 'powers': [34, 63, 10], 'representative': 98, 'size': 2}
  • id: 98211403
    {'aut_label': '20A1', 'centralizer': '2.b1.a1', 'counter': 68, 'group_counter': 82, 'group_order': 240, 'label': '20A-7', 'order': 20, 'powers': [33, 64, 9], 'representative': 150, 'size': 2}
  • id: 98211404
    {'aut_label': '20A1', 'centralizer': '2.b1.a1', 'counter': 69, 'group_counter': 82, 'group_order': 240, 'label': '20A9', 'order': 20, 'powers': [32, 67, 9], 'representative': 198, 'size': 2}
  • id: 98211406
    {'aut_label': '20A1', 'centralizer': '2.b1.a1', 'counter': 70, 'group_counter': 82, 'group_order': 240, 'label': '20A-9', 'order': 20, 'powers': [31, 68, 10], 'representative': 50, 'size': 2}
  • id: 98211407
    {'aut_label': '20A1', 'centralizer': '2.b1.b1', 'counter': 71, 'group_counter': 82, 'group_order': 240, 'label': '20B1', 'order': 20, 'powers': [35, 73, 11], 'representative': 175, 'size': 2}
  • id: 98211408
    {'aut_label': '20A1', 'centralizer': '2.b1.b1', 'counter': 72, 'group_counter': 82, 'group_order': 240, 'label': '20B-1', 'order': 20, 'powers': [36, 74, 12], 'representative': 195, 'size': 2}
  • id: 98211409
    {'aut_label': '20A1', 'centralizer': '2.b1.b1', 'counter': 73, 'group_counter': 82, 'group_order': 240, 'label': '20B3', 'order': 20, 'powers': [37, 77, 12], 'representative': 147, 'size': 2}
  • id: 98211410
    {'aut_label': '20A1', 'centralizer': '2.b1.b1', 'counter': 74, 'group_counter': 82, 'group_order': 240, 'label': '20B-3', 'order': 20, 'powers': [38, 78, 11], 'representative': 223, 'size': 2}
  • id: 98211411
    {'aut_label': '20A1', 'centralizer': '2.b1.b1', 'counter': 75, 'group_counter': 82, 'group_order': 240, 'label': '20B7', 'order': 20, 'powers': [38, 71, 12], 'representative': 99, 'size': 2}
  • id: 98211412
    {'aut_label': '20A1', 'centralizer': '2.b1.b1', 'counter': 76, 'group_counter': 82, 'group_order': 240, 'label': '20B-7', 'order': 20, 'powers': [37, 72, 11], 'representative': 31, 'size': 2}
  • id: 98211413
    {'aut_label': '20A1', 'centralizer': '2.b1.b1', 'counter': 77, 'group_counter': 82, 'group_order': 240, 'label': '20B9', 'order': 20, 'powers': [36, 75, 11], 'representative': 79, 'size': 2}
  • id: 98211414
    {'aut_label': '20A1', 'centralizer': '2.b1.b1', 'counter': 78, 'group_counter': 82, 'group_order': 240, 'label': '20B-9', 'order': 20, 'powers': [35, 76, 12], 'representative': 51, 'size': 2}
  • id: 98211415
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 79, 'group_counter': 82, 'group_order': 240, 'label': '30A1', 'order': 30, 'powers': [55, 27, 17], 'representative': 8, 'size': 1}
  • id: 98211417
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 80, 'group_counter': 82, 'group_order': 240, 'label': '30A-1', 'order': 30, 'powers': [56, 28, 18], 'representative': 232, 'size': 1}
  • id: 98211418
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 81, 'group_counter': 82, 'group_order': 240, 'label': '30A7', 'order': 30, 'powers': [61, 30, 17], 'representative': 56, 'size': 1}
  • id: 98211419
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 82, 'group_counter': 82, 'group_order': 240, 'label': '30A-7', 'order': 30, 'powers': [62, 29, 18], 'representative': 184, 'size': 1}
  • id: 98211420
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 83, 'group_counter': 82, 'group_order': 240, 'label': '30A11', 'order': 30, 'powers': [60, 27, 18], 'representative': 88, 'size': 1}
  • id: 98211421
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 84, 'group_counter': 82, 'group_order': 240, 'label': '30A-11', 'order': 30, 'powers': [59, 28, 17], 'representative': 152, 'size': 1}
  • id: 98211422
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 85, 'group_counter': 82, 'group_order': 240, 'label': '30A13', 'order': 30, 'powers': [58, 29, 17], 'representative': 104, 'size': 1}
  • id: 98211423
    {'aut_label': '30A1', 'centralizer': '1.a1.a1', 'counter': 86, 'group_counter': 82, 'group_order': 240, 'label': '30A-13', 'order': 30, 'powers': [57, 30, 18], 'representative': 136, 'size': 1}
  • id: 98211424
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 87, 'group_counter': 82, 'group_order': 240, 'label': '30B1', 'order': 30, 'powers': [59, 31, 19], 'representative': 36, 'size': 1}
  • id: 98211425
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 88, 'group_counter': 82, 'group_order': 240, 'label': '30B-1', 'order': 30, 'powers': [60, 32, 20], 'representative': 212, 'size': 1}
  • id: 98211426
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 89, 'group_counter': 82, 'group_order': 240, 'label': '30B7', 'order': 30, 'powers': [58, 34, 19], 'representative': 228, 'size': 1}
  • id: 98211428
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 90, 'group_counter': 82, 'group_order': 240, 'label': '30B-7', 'order': 30, 'powers': [57, 33, 20], 'representative': 20, 'size': 1}
  • id: 98211429
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 91, 'group_counter': 82, 'group_order': 240, 'label': '30B11', 'order': 30, 'powers': [56, 31, 20], 'representative': 116, 'size': 1}
  • id: 98211430
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 92, 'group_counter': 82, 'group_order': 240, 'label': '30B-11', 'order': 30, 'powers': [55, 32, 19], 'representative': 132, 'size': 1}
  • id: 98211431
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 93, 'group_counter': 82, 'group_order': 240, 'label': '30B13', 'order': 30, 'powers': [61, 33, 19], 'representative': 180, 'size': 1}
  • id: 98211432
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 94, 'group_counter': 82, 'group_order': 240, 'label': '30B-13', 'order': 30, 'powers': [62, 34, 20], 'representative': 68, 'size': 1}
  • id: 98211433
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 95, 'group_counter': 82, 'group_order': 240, 'label': '30C1', 'order': 30, 'powers': [59, 35, 21], 'representative': 156, 'size': 1}
  • id: 98211434
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 96, 'group_counter': 82, 'group_order': 240, 'label': '30C-1', 'order': 30, 'powers': [60, 36, 22], 'representative': 92, 'size': 1}
  • id: 98211435
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 97, 'group_counter': 82, 'group_order': 240, 'label': '30C7', 'order': 30, 'powers': [58, 38, 21], 'representative': 108, 'size': 1}
  • id: 98211436
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 98, 'group_counter': 82, 'group_order': 240, 'label': '30C-7', 'order': 30, 'powers': [57, 37, 22], 'representative': 140, 'size': 1}
  • id: 98211437
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 99, 'group_counter': 82, 'group_order': 240, 'label': '30C11', 'order': 30, 'powers': [56, 35, 22], 'representative': 236, 'size': 1}
  • id: 98211290
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 100, 'group_counter': 82, 'group_order': 240, 'label': '30C-11', 'order': 30, 'powers': [55, 36, 21], 'representative': 12, 'size': 1}
  • id: 98211291
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 101, 'group_counter': 82, 'group_order': 240, 'label': '30C13', 'order': 30, 'powers': [61, 37, 21], 'representative': 60, 'size': 1}
  • id: 98211292
    {'aut_label': '30B1', 'centralizer': '1.a1.a1', 'counter': 102, 'group_counter': 82, 'group_order': 240, 'label': '30C-13', 'order': 30, 'powers': [62, 38, 22], 'representative': 188, 'size': 1}
  • id: 98211293
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 82, 'group_order': 240, 'label': '30D1', 'order': 30, 'powers': [57, 39, 23], 'representative': 17, 'size': 2}
  • id: 98211294
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 82, 'group_order': 240, 'label': '30D-1', 'order': 30, 'powers': [58, 40, 24], 'representative': 105, 'size': 2}
  • id: 98211295
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 105, 'group_counter': 82, 'group_order': 240, 'label': '30D7', 'order': 30, 'powers': [56, 42, 23], 'representative': 113, 'size': 2}
  • id: 98211296
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 106, 'group_counter': 82, 'group_order': 240, 'label': '30D-7', 'order': 30, 'powers': [55, 41, 24], 'representative': 9, 'size': 2}
  • id: 98211297
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 107, 'group_counter': 82, 'group_order': 240, 'label': '30D11', 'order': 30, 'powers': [61, 39, 24], 'representative': 57, 'size': 2}
  • id: 98211298
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 108, 'group_counter': 82, 'group_order': 240, 'label': '30D-11', 'order': 30, 'powers': [62, 40, 23], 'representative': 65, 'size': 2}
  • id: 98211299
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 109, 'group_counter': 82, 'group_order': 240, 'label': '30D13', 'order': 30, 'powers': [60, 41, 23], 'representative': 209, 'size': 2}
  • id: 98211301
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 110, 'group_counter': 82, 'group_order': 240, 'label': '30D-13', 'order': 30, 'powers': [59, 42, 24], 'representative': 33, 'size': 2}
  • id: 98211302
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 111, 'group_counter': 82, 'group_order': 240, 'label': '30E1', 'order': 30, 'powers': [57, 43, 25], 'representative': 21, 'size': 2}
  • id: 98211303
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 112, 'group_counter': 82, 'group_order': 240, 'label': '30E-1', 'order': 30, 'powers': [58, 44, 26], 'representative': 109, 'size': 2}
  • id: 98211304
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 113, 'group_counter': 82, 'group_order': 240, 'label': '30E7', 'order': 30, 'powers': [56, 46, 25], 'representative': 117, 'size': 2}
  • id: 98211305
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 114, 'group_counter': 82, 'group_order': 240, 'label': '30E-7', 'order': 30, 'powers': [55, 45, 26], 'representative': 13, 'size': 2}
  • id: 98211306
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 115, 'group_counter': 82, 'group_order': 240, 'label': '30E11', 'order': 30, 'powers': [61, 43, 26], 'representative': 61, 'size': 2}
  • id: 98211307
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 116, 'group_counter': 82, 'group_order': 240, 'label': '30E-11', 'order': 30, 'powers': [62, 44, 25], 'representative': 69, 'size': 2}
  • id: 98211308
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 117, 'group_counter': 82, 'group_order': 240, 'label': '30E13', 'order': 30, 'powers': [60, 45, 25], 'representative': 213, 'size': 2}
  • id: 98211309
    {'aut_label': '30D1', 'centralizer': '2.a1.a1', 'counter': 118, 'group_counter': 82, 'group_order': 240, 'label': '30E-13', 'order': 30, 'powers': [59, 46, 26], 'representative': 37, 'size': 2}
  • id: 98211310
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 119, 'group_counter': 82, 'group_order': 240, 'label': '60A1', 'order': 60, 'powers': [87, 63, 47], 'representative': 18, 'size': 2}
  • id: 98211312
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 120, 'group_counter': 82, 'group_order': 240, 'label': '60A-1', 'order': 60, 'powers': [88, 64, 48], 'representative': 110, 'size': 2}
  • id: 98211313
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 121, 'group_counter': 82, 'group_order': 240, 'label': '60A7', 'order': 60, 'powers': [89, 67, 50], 'representative': 118, 'size': 2}
  • id: 98211314
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 122, 'group_counter': 82, 'group_order': 240, 'label': '60A-7', 'order': 60, 'powers': [90, 68, 49], 'representative': 10, 'size': 2}
  • id: 98211315
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 123, 'group_counter': 82, 'group_order': 240, 'label': '60A11', 'order': 60, 'powers': [91, 70, 48], 'representative': 62, 'size': 2}
  • id: 98211316
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 124, 'group_counter': 82, 'group_order': 240, 'label': '60A-11', 'order': 60, 'powers': [92, 69, 47], 'representative': 66, 'size': 2}
  • id: 98211317
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 125, 'group_counter': 82, 'group_order': 240, 'label': '60A13', 'order': 60, 'powers': [93, 68, 47], 'representative': 210, 'size': 2}
  • id: 98211318
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 126, 'group_counter': 82, 'group_order': 240, 'label': '60A-13', 'order': 60, 'powers': [94, 67, 48], 'representative': 38, 'size': 2}
  • id: 98211319
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 127, 'group_counter': 82, 'group_order': 240, 'label': '60A17', 'order': 60, 'powers': [94, 66, 49], 'representative': 34, 'size': 2}
  • id: 98211320
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 128, 'group_counter': 82, 'group_order': 240, 'label': '60A-17', 'order': 60, 'powers': [93, 65, 50], 'representative': 214, 'size': 2}
  • id: 98211321
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 129, 'group_counter': 82, 'group_order': 240, 'label': '60A19', 'order': 60, 'powers': [92, 64, 50], 'representative': 70, 'size': 2}
  • id: 98211323
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 130, 'group_counter': 82, 'group_order': 240, 'label': '60A-19', 'order': 60, 'powers': [91, 63, 49], 'representative': 58, 'size': 2}
  • id: 98211324
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 131, 'group_counter': 82, 'group_order': 240, 'label': '60A23', 'order': 60, 'powers': [90, 65, 48], 'representative': 14, 'size': 2}
  • id: 98211325
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 132, 'group_counter': 82, 'group_order': 240, 'label': '60A-23', 'order': 60, 'powers': [89, 66, 47], 'representative': 114, 'size': 2}
  • id: 98211326
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 133, 'group_counter': 82, 'group_order': 240, 'label': '60A29', 'order': 60, 'powers': [88, 69, 49], 'representative': 106, 'size': 2}
  • id: 98211327
    {'aut_label': '60A1', 'centralizer': '2.b1.a1', 'counter': 134, 'group_counter': 82, 'group_order': 240, 'label': '60A-29', 'order': 60, 'powers': [87, 70, 50], 'representative': 22, 'size': 2}
  • id: 98211328
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 135, 'group_counter': 82, 'group_order': 240, 'label': '60B1', 'order': 60, 'powers': [95, 71, 51], 'representative': 19, 'size': 2}
  • id: 98211329
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 136, 'group_counter': 82, 'group_order': 240, 'label': '60B-1', 'order': 60, 'powers': [96, 72, 52], 'representative': 111, 'size': 2}
  • id: 98211330
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 137, 'group_counter': 82, 'group_order': 240, 'label': '60B7', 'order': 60, 'powers': [97, 75, 54], 'representative': 119, 'size': 2}
  • id: 98211331
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 138, 'group_counter': 82, 'group_order': 240, 'label': '60B-7', 'order': 60, 'powers': [98, 76, 53], 'representative': 11, 'size': 2}
  • id: 98211332
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 139, 'group_counter': 82, 'group_order': 240, 'label': '60B11', 'order': 60, 'powers': [99, 78, 52], 'representative': 63, 'size': 2}
  • id: 98211334
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 140, 'group_counter': 82, 'group_order': 240, 'label': '60B-11', 'order': 60, 'powers': [100, 77, 51], 'representative': 67, 'size': 2}
  • id: 98211335
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 141, 'group_counter': 82, 'group_order': 240, 'label': '60B13', 'order': 60, 'powers': [101, 76, 51], 'representative': 211, 'size': 2}
  • id: 98211336
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 142, 'group_counter': 82, 'group_order': 240, 'label': '60B-13', 'order': 60, 'powers': [102, 75, 52], 'representative': 39, 'size': 2}
  • id: 98211337
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 143, 'group_counter': 82, 'group_order': 240, 'label': '60B17', 'order': 60, 'powers': [102, 74, 53], 'representative': 35, 'size': 2}
  • id: 98211338
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 144, 'group_counter': 82, 'group_order': 240, 'label': '60B-17', 'order': 60, 'powers': [101, 73, 54], 'representative': 215, 'size': 2}
  • id: 98211339
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 145, 'group_counter': 82, 'group_order': 240, 'label': '60B19', 'order': 60, 'powers': [100, 72, 54], 'representative': 71, 'size': 2}
  • id: 98211340
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 146, 'group_counter': 82, 'group_order': 240, 'label': '60B-19', 'order': 60, 'powers': [99, 71, 53], 'representative': 59, 'size': 2}
  • id: 98211341
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 147, 'group_counter': 82, 'group_order': 240, 'label': '60B23', 'order': 60, 'powers': [98, 73, 52], 'representative': 15, 'size': 2}
  • id: 98211342
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 148, 'group_counter': 82, 'group_order': 240, 'label': '60B-23', 'order': 60, 'powers': [97, 74, 51], 'representative': 115, 'size': 2}
  • id: 98211343
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 149, 'group_counter': 82, 'group_order': 240, 'label': '60B29', 'order': 60, 'powers': [96, 77, 53], 'representative': 107, 'size': 2}
  • id: 98211345
    {'aut_label': '60A1', 'centralizer': '2.b1.b1', 'counter': 150, 'group_counter': 82, 'group_order': 240, 'label': '60B-29', 'order': 60, 'powers': [95, 78, 54], 'representative': 23, 'size': 2}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 274036
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 274047
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 274058
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 274062
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 274063
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1e', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 274064
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1f', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274065
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1g', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274066
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1h', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, -2, -2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 274067
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1i', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -1, -1, 2, 2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 274037
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1j', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, -1, -2, -2, -2, -2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 274053
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, 2, -2, 2, -2, 0, 0, 0, 0, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274054
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274038
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1k', 'multiplicity': 4, 'nt': [5, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 274039
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1l', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, -4, -4, 4, 4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 4, -4, -4, -4, -4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 274040
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1m', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, 4, -4, -4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -4, 4, 4, 4, 4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 274041
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1n', 'multiplicity': 4, 'nt': [10, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -1, -1, -1, -1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 274042
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1o', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, -2, -2, 0, 0, 0, 0, 4, 4, 4, 4, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 4, -4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274043
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1p', 'multiplicity': 4, 'nt': [12, 1], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, -4, -2, -2, 0, 0, 0, 0, 4, 4, 4, 4, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, 4, -4, -4, 4, -4, -4, 4, 4, -4, -4, -4, -4, 4, -4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274055
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.2c', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, -2, -2, 0, 0, 0, 0, 4, 4, 4, 4, 2, 2, -2, 2, -2, 2, 0, 0, 0, 0, -4, 4, -4, -4, -4, -4, -4, -4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274056
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.2d', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 0, 0, -2, -2, 0, 0, 0, 0, 4, 4, 4, 4, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, -4, -4, 4, -4, 4, 4, -4, -4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274044
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1q', 'multiplicity': 8, 'nt': [15, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -4, 8, 8, 8, 8, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 274045
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1r', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -8, 8, 8, 8, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, -8, 8, -8, 8, 8, 8, -8, -8, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274046
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1s', 'multiplicity': 8, 'nt': [20, 1], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 8, -8, 8, 8, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, -8, 8, -8, 8, -8, -8, 8, 8, -2, 2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274048
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1t', 'multiplicity': 8, 'nt': [30, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -4, -8, -8, 8, 8, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, -4, 4, 4, 4, 4, -4, -4, -4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 274049
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1u', 'multiplicity': 8, 'nt': [30, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -4, 8, 8, -8, -8, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 4, -4, -4, -4, -4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 274050
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1v', 'multiplicity': 8, 'nt': [30, 1], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, -4, -4, -8, -8, -8, -8, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 274057
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.2e', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 8, 8, 0, 0, 0, 0, -2, -2, -2, -2, -8, -8, 8, -8, 8, -8, 0, 0, 0, 0, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274059
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.2f', 'multiplicity': 4, 'nt': [20, 12], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 8, 8, 0, 0, 0, 0, -2, -2, -2, -2, 8, 8, -8, -8, -8, -8, 0, 0, 0, 0, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274051
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1w', 'multiplicity': 16, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, -16, 16, -8, -8, 0, 0, 0, 0, -4, -4, -4, -4, 8, 8, 8, -8, 8, -8, -8, -8, 8, 8, -4, 4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, 4, -4, -4, 4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274052
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.1x', 'multiplicity': 16, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 16, -16, -8, -8, 0, 0, 0, 0, -4, -4, -4, -4, 8, 8, 8, -8, 8, -8, 8, 8, -8, -8, -4, 4, 4, -4, 4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274060
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.2g', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, -8, -8, 0, 0, 0, 0, -4, -4, -4, -4, 8, 8, -8, 8, -8, 8, 0, 0, 0, 0, 4, -4, 4, 4, 4, 4, 4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 274061
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '240.82', 'group_order': 240, 'image': None, 'label': '240.82.2h', 'multiplicity': 8, 'nt': [60, 0], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, -8, -8, 0, 0, 0, 0, -4, -4, -4, -4, -8, -8, 8, 8, 8, 8, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 4, 4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 402378
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 240, 'label': '240.82.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 402440
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.b1', 'kernel_order': 120, 'label': '240.82.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 402451
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 120, 'label': '240.82.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 402462
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 120, 'label': '240.82.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 402473
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 80, 'label': '240.82.1e1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]]]}
  • id: 402484
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1.a1', 'kernel_order': 80, 'label': '240.82.1e2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]]]}
  • id: 402495
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 7, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.b1', 'kernel_order': 60, 'label': '240.82.1f1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
  • id: 402506
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 8, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.b1', 'kernel_order': 60, 'label': '240.82.1f2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
  • id: 402517
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 60, 'label': '240.82.1g1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]]]}
  • id: 402379
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1.a1', 'kernel_order': 60, 'label': '240.82.1g2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]]]}
  • id: 402390
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 40, 'label': '240.82.1h1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]]]}
  • id: 402401
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.b1', 'kernel_order': 40, 'label': '240.82.1h2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]]]}
  • id: 402412
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 13, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 40, 'label': '240.82.1i1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]]]}
  • id: 402423
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 14, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1.a1', 'kernel_order': 40, 'label': '240.82.1i2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[-1, 1]], [[1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[1, -1]], [[-1, -1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]]]}
  • id: 402434
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 15, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 40, 'label': '240.82.1j1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]]]}
  • id: 402436
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 16, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1.a1', 'kernel_order': 40, 'label': '240.82.1j2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]]]}
  • id: 402437
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 17, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 48, 'label': '240.82.1k1', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]]]}
  • id: 402438
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 18, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 48, 'label': '240.82.1k2', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -2]]]}
  • id: 402439
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 19, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 48, 'label': '240.82.1k3', 'nt': [5, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 402441
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 20, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '5.1', 'image_order': 5, 'indicator': 0, 'kernel': '5.a1.a1', 'kernel_order': 48, 'label': '240.82.1k4', 'nt': [5, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 402442
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 21, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 24, 'label': '240.82.1l1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 2]]]}
  • id: 402443
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 22, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 24, 'label': '240.82.1l2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -2]], [[-1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, -2]]]}
  • id: 402444
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 23, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 24, 'label': '240.82.1l3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, 1]]]}
  • id: 402445
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 24, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.b1', 'kernel_order': 24, 'label': '240.82.1l4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[1, -1]], [[-1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, -1]]]}
  • id: 402446
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 25, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 24, 'label': '240.82.1m1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[-1, -2]], [[1, 1]], [[1, 2]], [[-1, 2]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 2]], [[1, -1]], [[-1, -2]], [[1, 2]], [[-1, 1]], [[-1, -1]], [[1, -2]], [[1, -2]], [[-1, 2]]]}
  • id: 402447
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 26, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 24, 'label': '240.82.1m2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[-1, 2]], [[1, -1]], [[1, -2]], [[-1, -2]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -2]], [[1, 1]], [[-1, 2]], [[1, -2]], [[-1, -1]], [[-1, 1]], [[1, 2]], [[1, 2]], [[-1, -2]]]}
  • id: 402448
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 27, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 24, 'label': '240.82.1m3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[-1, -1]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -1]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, -1]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, 2]], [[-1, 1]], [[1, 2]], [[-1, -1]], [[1, 1]], [[-1, -2]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, 1]]]}
  • id: 402449
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 28, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.b1.a1', 'kernel_order': 24, 'label': '240.82.1m4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[-1, 1]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, 1]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, 1]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, -2]], [[-1, -1]], [[1, -2]], [[-1, 1]], [[1, -1]], [[-1, 2]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, -1]]]}
  • id: 402450
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 29, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 24, 'label': '240.82.1n1', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]]]}
  • id: 402452
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 30, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 24, 'label': '240.82.1n2', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -2]]]}
  • id: 402453
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 31, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 24, 'label': '240.82.1n3', 'nt': [10, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -2]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
  • id: 402454
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 32, 'cyclotomic_n': 5, 'dim': 1, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '10.2', 'image_order': 10, 'indicator': 0, 'kernel': '10.a1.a1', 'kernel_order': 24, 'label': '240.82.1n4', 'nt': [10, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, 1]], [[1, -2]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 1]], [[-1, -2]], [[-1, 2]], [[-1, -1]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, -1]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, 1]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 2]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, -1]], [[-1, 2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -1]]]}
  • id: 402455
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 33, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.b1', 'kernel_order': 20, 'label': '240.82.1o1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 1]], [[1, 1]]]}
  • id: 402456
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 34, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.b1', 'kernel_order': 20, 'label': '240.82.1o2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 5]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 5]]]}
  • id: 402457
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 35, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.b1', 'kernel_order': 20, 'label': '240.82.1o3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 1]]]}
  • id: 402458
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 36, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.b1', 'kernel_order': 20, 'label': '240.82.1o4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 5]], [[1, 5]]]}
  • id: 402459
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 37, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 20, 'label': '240.82.1p1', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[-1, 1]]]}
  • id: 402460
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 38, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 20, 'label': '240.82.1p2', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 5]], [[-1, 1]], [[1, 1]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 5]], [[1, 1]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 5]], [[1, 5]]]}
  • id: 402461
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 39, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 20, 'label': '240.82.1p3', 'nt': [12, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2]], [[1, 4]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 2]], [[1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 1]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[1, 1]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[1, 1]]]}
  • id: 402463
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 40, 'cyclotomic_n': 12, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '12.2', 'image_order': 12, 'indicator': 0, 'kernel': '12.b1.a1', 'kernel_order': 20, 'label': '240.82.1p4', 'nt': [12, 4], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[-1, 5]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 1]], [[1, 1]], [[-1, 5]], [[-1, 1]], [[-1, 5]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 1]], [[1, 5]], [[-1, 5]]]}
  • id: 402464
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 41, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 16, 'label': '240.82.1q1', 'nt': [15, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 1]], [[1, -7]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, 1]], [[1, 7]], [[1, -4]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, -2]], [[1, -2]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -7]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -7]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 7]], [[1, -4]], [[1, 7]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -4]]]}
  • id: 402465
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 42, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 16, 'label': '240.82.1q2', 'nt': [15, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -1]], [[1, 7]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, -1]], [[1, -7]], [[1, 4]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, 2]], [[1, 2]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 7]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -2]], [[1, -2]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -7]], [[1, 4]], [[1, -7]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 4]]]}
  • id: 402466
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 43, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 16, 'label': '240.82.1q3', 'nt': [15, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 7]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, -7]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 7]], [[1, 7]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, -7]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, -1]], [[1, -2]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, 1]], [[1, -4]], [[1, -1]]]}
  • id: 402467
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 44, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 16, 'label': '240.82.1q4', 'nt': [15, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -7]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, 7]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -7]], [[1, -7]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -4]], [[1, -2]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -7]], [[1, -7]], [[1, -4]], [[1, -4]], [[1, 7]], [[1, 7]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, 2]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, -1]], [[1, 4]], [[1, 1]]]}
  • id: 402468
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 45, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 16, 'label': '240.82.1q5', 'nt': [15, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 4]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -7]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -2]], [[1, -1]], [[1, 7]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, -2]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, 1]], [[1, -7]], [[1, 1]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 7]], [[1, 2]], [[1, -7]]]}
  • id: 402469
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 46, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 16, 'label': '240.82.1q6', 'nt': [15, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, -5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -4]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 7]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 2]], [[1, 1]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, -7]], [[1, -4]], [[1, -4]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, -1]], [[1, 7]], [[1, -1]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -7]], [[1, -2]], [[1, 7]]]}
  • id: 402470
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 47, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 16, 'label': '240.82.1q7', 'nt': [15, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 7]], [[1, -4]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, 3]], [[1, -6]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 7]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -7]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 7]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, -2]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, -1]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, -2]], [[1, -7]], [[1, 2]]]}
  • id: 402471
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 48, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '15.1', 'image_order': 15, 'indicator': 0, 'kernel': '15.a1.a1', 'kernel_order': 16, 'label': '240.82.1q8', 'nt': [15, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -7]], [[1, 4]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, -3]], [[1, 6]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -7]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 7]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -7]], [[1, 4]], [[1, 2]], [[1, -1]], [[1, -7]], [[1, -7]], [[1, 2]], [[1, -1]], [[1, -1]], [[1, -7]], [[1, -7]], [[1, 1]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, 2]], [[1, 7]], [[1, -2]]]}
  • id: 402472
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 49, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 12, 'label': '240.82.1r1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-1, 8]], [[-1, 6]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 8]], [[1, 6]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 4]], [[1, 1]], [[-1, 7]], [[1, 3]], [[1, 9]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 7]], [[-1, 1]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 6]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[1, 8]], [[1, 6]], [[-1, 8]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 7]], [[1, 3]], [[1, 9]], [[-1, 1]], [[1, 7]], [[1, 7]], [[1, 3]]]}
  • id: 402474
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 50, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 12, 'label': '240.82.1r2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 6]], [[-1, 8]], [[1, 6]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 9]], [[1, 3]], [[-1, 7]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 9]], [[1, 7]], [[-1, 3]], [[1, 9]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 9]], [[-1, 2]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 7]]]}
  • id: 402475
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 51, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 12, 'label': '240.82.1r3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 8]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 6]], [[-1, 8]], [[1, 6]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 9]], [[-1, 3]], [[1, 7]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 9]], [[-1, 7]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[-1, 9]], [[-1, 2]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[1, 4]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[1, 3]], [[1, 7]], [[1, 1]], [[-1, 9]], [[1, 3]], [[1, 3]], [[1, 7]]]}
  • id: 402476
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 52, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 12, 'label': '240.82.1r4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[1, 2]], [[-1, 8]], [[-1, 6]], [[1, 4]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[1, 8]], [[1, 6]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 1]], [[1, 7]], [[-1, 3]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 7]], [[1, 1]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 6]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[1, 8]], [[1, 4]], [[1, 4]], [[-1, 4]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 6]], [[1, 8]], [[1, 6]], [[-1, 8]], [[-1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 9]], [[1, 9]], [[1, 7]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 9]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 3]]]}
  • id: 402477
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 53, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 12, 'label': '240.82.1r5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 6]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 4]], [[-1, 8]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[-1, 9]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 1]], [[1, 3]], [[1, 7]], [[1, 9]], [[-1, 7]], [[1, 1]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 6]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 9]], [[-1, 9]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 9]], [[1, 9]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 7]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 1]], [[-1, 9]], [[-1, 7]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 9]]]}
  • id: 402478
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 54, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 12, 'label': '240.82.1r6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 6]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 6]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 2]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[1, 7]], [[-1, 9]], [[1, 1]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[-1, 7]], [[-1, 6]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 6]], [[1, 6]], [[1, 8]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 6]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 6]], [[1, 2]], [[1, 6]], [[1, 3]], [[1, 9]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[-1, 9]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 9]], [[1, 1]], [[1, 3]], [[-1, 7]], [[1, 9]], [[1, 9]], [[1, 1]]]}
  • id: 402479
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 55, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 12, 'label': '240.82.1r7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 6]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 6]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[1, 8]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 6]], [[1, 2]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 7]], [[1, 9]], [[-1, 1]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[1, 7]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 9]], [[1, 7]], [[-1, 6]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 6]], [[1, 6]], [[1, 8]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 6]], [[1, 8]], [[1, 8]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 6]], [[1, 2]], [[1, 6]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[1, 9]], [[1, 3]], [[1, 3]], [[1, 9]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 9]], [[-1, 1]], [[-1, 3]], [[1, 7]], [[-1, 9]], [[-1, 9]], [[-1, 1]]]}
  • id: 402480
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 56, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.b1', 'kernel_order': 12, 'label': '240.82.1r8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 6]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 2]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 4]], [[-1, 8]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[1, 9]], [[1, 7]], [[1, 1]], [[-1, 7]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[1, 7]], [[-1, 1]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 6]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 7]], [[1, 1]], [[1, 7]], [[1, 9]], [[1, 9]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 9]], [[-1, 9]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 1]], [[1, 9]], [[1, 7]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 9]]]}
  • id: 402481
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 57, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.82.1s1', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 8]], [[-1, 6]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 4]], [[1, 1]], [[-1, 7]], [[-1, 3]], [[1, 9]], [[1, 7]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 7]], [[-1, 1]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 6]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 8]], [[-1, 6]], [[1, 8]], [[1, 9]], [[-1, 7]], [[1, 9]], [[1, 3]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 7]], [[1, 9]], [[-1, 9]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 9]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[1, 3]], [[-1, 9]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 3]]]}
  • id: 402482
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 58, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.82.1s2', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 8]], [[-1, 6]], [[-1, 8]], [[1, 2]], [[1, 4]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[-1, 9]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[1, 9]], [[1, 7]], [[1, 3]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[1, 9]], [[-1, 2]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 7]], [[1, 9]], [[1, 1]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[1, 3]], [[-1, 7]], [[1, 1]], [[-1, 9]], [[-1, 3]], [[-1, 3]], [[1, 7]]]}
  • id: 402483
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 59, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.82.1s3', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 6]], [[1, 6]], [[-1, 2]], [[-1, 8]], [[-1, 4]], [[1, 4]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 8]], [[-1, 6]], [[-1, 8]], [[1, 2]], [[1, 4]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 4]], [[1, 8]], [[-1, 2]], [[-1, 6]], [[1, 9]], [[-1, 3]], [[-1, 7]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[-1, 7]], [[-1, 3]], [[1, 9]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[-1, 2]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 8]], [[1, 6]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 8]], [[-1, 2]], [[-1, 6]], [[1, 8]], [[1, 2]], [[1, 2]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 8]], [[1, 6]], [[1, 2]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 9]], [[-1, 9]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[-1, 1]], [[1, 9]], [[1, 7]], [[-1, 9]], [[-1, 3]], [[1, 7]], [[-1, 1]], [[1, 9]], [[1, 3]], [[1, 3]], [[-1, 7]]]}
  • id: 402485
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 60, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.82.1s4', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 6]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[1, 8]], [[1, 2]], [[1, 6]], [[-1, 6]], [[1, 4]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[1, 2]], [[1, 8]], [[1, 6]], [[-1, 4]], [[-1, 2]], [[1, 4]], [[1, 2]], [[-1, 8]], [[-1, 6]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 4]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 2]], [[1, 8]], [[1, 4]], [[-1, 1]], [[1, 7]], [[1, 3]], [[-1, 9]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 7]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 7]], [[1, 1]], [[1, 8]], [[-1, 4]], [[1, 2]], [[-1, 8]], [[-1, 6]], [[-1, 8]], [[1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[1, 6]], [[1, 6]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[1, 6]], [[-1, 2]], [[1, 4]], [[1, 8]], [[1, 6]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 6]], [[-1, 8]], [[-1, 6]], [[1, 8]], [[-1, 9]], [[1, 7]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[1, 7]], [[1, 9]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[-1, 7]], [[1, 1]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 9]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 7]], [[-1, 3]], [[1, 9]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 3]]]}
  • id: 402486
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 61, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.82.1s5', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 6]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 1]], [[1, 9]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 1]], [[-1, 3]], [[-1, 7]], [[-1, 9]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 7]], [[1, 1]], [[-1, 7]], [[-1, 9]], [[1, 9]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 9]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 9]], [[1, 3]], [[1, 7]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 1]], [[-1, 9]], [[1, 7]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 9]]]}
  • id: 402487
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 62, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.82.1s6', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 6]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 6]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[1, 7]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 1]], [[-1, 7]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 9]], [[-1, 7]], [[-1, 6]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 6]], [[1, 6]], [[1, 8]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[1, 3]], [[-1, 9]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 9]], [[-1, 7]], [[-1, 9]], [[1, 7]], [[-1, 1]], [[-1, 7]], [[-1, 3]], [[1, 7]], [[1, 1]], [[-1, 7]], [[-1, 9]], [[1, 1]], [[-1, 3]], [[1, 7]], [[1, 9]], [[1, 9]], [[-1, 1]]]}
  • id: 402488
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 63, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.82.1s7', 'nt': [20, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 6]], [[-1, 4]], [[1, 2]], [[-1, 2]], [[1, 8]], [[1, 6]], [[1, 2]], [[1, 6]], [[-1, 4]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 4]], [[-1, 6]], [[1, 8]], [[-1, 7]], [[1, 9]], [[1, 1]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 1]], [[1, 7]], [[1, 1]], [[1, 9]], [[-1, 7]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[1, 7]], [[-1, 6]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[-1, 2]], [[1, 6]], [[-1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 2]], [[-1, 4]], [[-1, 6]], [[1, 8]], [[1, 4]], [[1, 6]], [[1, 6]], [[1, 8]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[1, 6]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 2]], [[-1, 4]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 6]], [[-1, 2]], [[-1, 6]], [[-1, 3]], [[1, 9]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[-1, 3]], [[1, 3]], [[-1, 9]], [[1, 7]], [[1, 9]], [[-1, 7]], [[1, 1]], [[1, 7]], [[1, 3]], [[-1, 7]], [[-1, 1]], [[1, 7]], [[1, 9]], [[-1, 1]], [[1, 3]], [[-1, 7]], [[-1, 9]], [[-1, 9]], [[1, 1]]]}
  • id: 402489
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 64, 'cyclotomic_n': 20, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '20.2', 'image_order': 20, 'indicator': 0, 'kernel': '20.b1.a1', 'kernel_order': 12, 'label': '240.82.1s8', 'nt': [20, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 6]], [[1, 2]], [[1, 2]], [[1, 4]], [[1, 6]], [[-1, 8]], [[1, 8]], [[-1, 2]], [[-1, 4]], [[-1, 8]], [[-1, 4]], [[1, 6]], [[1, 4]], [[-1, 8]], [[1, 2]], [[-1, 6]], [[-1, 2]], [[1, 6]], [[-1, 4]], [[1, 8]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 8]], [[-1, 6]], [[1, 8]], [[-1, 6]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 1]], [[-1, 9]], [[1, 7]], [[1, 1]], [[-1, 7]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 1]], [[1, 3]], [[1, 7]], [[1, 9]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, 6]], [[-1, 4]], [[1, 8]], [[-1, 4]], [[1, 6]], [[1, 2]], [[-1, 6]], [[1, 2]], [[-1, 8]], [[-1, 8]], [[1, 6]], [[1, 4]], [[-1, 2]], [[-1, 6]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, 8]], [[-1, 8]], [[1, 8]], [[1, 6]], [[1, 2]], [[-1, 4]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 6]], [[-1, 2]], [[1, 4]], [[-1, 8]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 8]], [[-1, 4]], [[1, 8]], [[1, 4]], [[1, 7]], [[-1, 1]], [[1, 7]], [[1, 9]], [[-1, 9]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 9]], [[1, 9]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 9]], [[-1, 3]], [[-1, 7]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 1]], [[1, 9]], [[-1, 7]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 9]]]}
  • id: 402490
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 65, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.b1', 'kernel_order': 8, 'label': '240.82.1t1', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 1]], [[1, -7]], [[-1, -3]], [[-1, -6]], [[1, 6]], [[-1, 3]], [[-1, -6]], [[-1, 3]], [[-1, 6]], [[1, -3]], [[-1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -6]], [[-1, -3]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, 1]], [[1, 7]], [[1, -4]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 2]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, -7]], [[-1, -2]], [[-1, -2]], [[-1, 7]], [[-1, 4]], [[-1, -7]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[-1, 7]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -7]], [[1, 4]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, 4]], [[1, -2]], [[1, -2]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, -1]], [[1, -7]], [[-1, -7]], [[1, 4]], [[1, 7]], [[-1, -1]], [[1, 7]], [[-1, -4]], [[-1, 7]], [[-1, -2]], [[-1, 7]], [[1, -4]], [[-1, 2]], [[1, -1]], [[-1, -4]], [[1, -7]], [[1, 2]], [[-1, 4]], [[-1, -1]], [[1, -4]]]}
  • id: 402491
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 66, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.b1', 'kernel_order': 8, 'label': '240.82.1t2', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[1, -5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -1]], [[1, 7]], [[-1, 3]], [[-1, 6]], [[1, -6]], [[-1, -3]], [[-1, 6]], [[-1, -3]], [[-1, -6]], [[1, 3]], [[-1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 6]], [[-1, 3]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, -1]], [[1, -7]], [[1, 4]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -2]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, 7]], [[-1, 2]], [[-1, 2]], [[-1, -7]], [[-1, -4]], [[-1, 7]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[-1, -7]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 7]], [[1, -4]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, -4]], [[1, 2]], [[1, 2]], [[-1, -1]], [[1, -1]], [[-1, -2]], [[1, -2]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, -4]], [[1, -7]], [[-1, 1]], [[1, -7]], [[-1, 4]], [[-1, -7]], [[-1, 2]], [[-1, -7]], [[1, 4]], [[-1, -2]], [[1, 1]], [[-1, 4]], [[1, 7]], [[1, -2]], [[-1, -4]], [[-1, 1]], [[1, 4]]]}
  • id: 402492
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 67, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.b1', 'kernel_order': 8, 'label': '240.82.1t3', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 7]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 2]], [[-1, 3]], [[-1, 6]], [[1, -6]], [[-1, -3]], [[-1, 6]], [[-1, -3]], [[-1, -6]], [[1, 3]], [[-1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 6]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, -7]], [[1, 1]], [[1, 7]], [[-1, -1]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -7]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -7]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[-1, 7]], [[-1, 4]], [[1, 4]], [[-1, 1]], [[1, 7]], [[1, 7]], [[-1, 4]], [[1, 4]], [[-1, -7]], [[1, -7]], [[1, -4]], [[1, 2]], [[-1, 2]], [[1, 1]], [[1, -2]], [[-1, -4]], [[1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 7]], [[-1, -2]], [[1, -1]], [[-1, -7]], [[1, -4]], [[-1, -1]], [[1, 2]], [[1, -7]], [[-1, 1]], [[-1, -4]], [[1, -1]]]}
  • id: 402493
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 68, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.b1', 'kernel_order': 8, 'label': '240.82.1t4', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[1, -5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -7]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -2]], [[-1, -3]], [[-1, -6]], [[1, 6]], [[-1, 3]], [[-1, -6]], [[-1, 3]], [[-1, 6]], [[1, -3]], [[-1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -6]], [[-1, -3]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, 7]], [[1, -1]], [[1, -7]], [[-1, 1]], [[-1, -2]], [[-1, -7]], [[-1, -7]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 7]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 7]], [[-1, -4]], [[-1, -2]], [[1, -1]], [[-1, -7]], [[-1, -4]], [[1, -4]], [[-1, -1]], [[1, -7]], [[1, -7]], [[-1, -4]], [[1, -4]], [[-1, 7]], [[1, 7]], [[1, 4]], [[1, -2]], [[-1, -2]], [[1, -1]], [[1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -7]], [[-1, 2]], [[1, 1]], [[-1, 7]], [[1, 4]], [[-1, 1]], [[1, -2]], [[1, 7]], [[-1, -1]], [[-1, 4]], [[1, 1]]]}
  • id: 402494
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 69, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.b1', 'kernel_order': 8, 'label': '240.82.1t5', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 4]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 6]], [[-1, -3]], [[1, 3]], [[-1, -6]], [[-1, -3]], [[-1, -6]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, -3]], [[-1, 6]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -7]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, 4]], [[-1, -7]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 7]], [[-1, -1]], [[-1, -7]], [[-1, -4]], [[-1, 7]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -2]], [[-1, -1]], [[1, 7]], [[-1, 4]], [[-1, -2]], [[1, -2]], [[-1, 7]], [[1, 4]], [[1, 4]], [[-1, -2]], [[1, -2]], [[-1, -4]], [[1, -4]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, 7]], [[1, 1]], [[-1, 2]], [[1, 1]], [[-1, -7]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[1, -7]], [[-1, -4]], [[1, 2]], [[-1, -7]], [[1, -1]], [[1, -4]], [[-1, 7]], [[-1, 2]], [[1, -7]]]}
  • id: 402496
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 70, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.b1', 'kernel_order': 8, 'label': '240.82.1t6', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[1, -5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -4]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -6]], [[-1, 3]], [[1, -3]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[-1, -3]], [[1, -6]], [[-1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, 3]], [[-1, -6]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 7]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, -4]], [[-1, 7]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, -7]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[-1, -7]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[1, -7]], [[-1, -4]], [[-1, 2]], [[1, 2]], [[-1, -7]], [[1, -4]], [[1, -4]], [[-1, 2]], [[1, 2]], [[-1, 4]], [[1, 4]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, -7]], [[1, -1]], [[-1, -2]], [[1, -1]], [[-1, 7]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[1, 7]], [[-1, 4]], [[1, -2]], [[-1, 7]], [[1, 1]], [[1, 4]], [[-1, -7]], [[-1, -2]], [[1, 7]]]}
  • id: 402497
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 71, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.b1', 'kernel_order': 8, 'label': '240.82.1t7', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[1, 5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 7]], [[1, -4]], [[-1, -6]], [[-1, 3]], [[1, -3]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[-1, -3]], [[1, -6]], [[-1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, 3]], [[-1, -6]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 7]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -7]], [[-1, -7]], [[-1, 4]], [[-1, 7]], [[-1, -1]], [[-1, 7]], [[-1, -4]], [[1, -2]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, -2]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, -1]], [[1, -1]], [[1, -7]], [[1, -4]], [[-1, -4]], [[1, -2]], [[1, 4]], [[-1, -7]], [[1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[1, 2]], [[-1, -1]], [[1, -7]], [[-1, 2]], [[1, -4]], [[1, -1]], [[-1, -2]], [[-1, -7]], [[1, 2]]]}
  • id: 402498
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 72, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.b1', 'kernel_order': 8, 'label': '240.82.1t8', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[1, -5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -7]], [[1, 4]], [[-1, 6]], [[-1, -3]], [[1, 3]], [[-1, -6]], [[-1, -3]], [[-1, -6]], [[-1, 3]], [[1, 6]], [[-1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, -3]], [[-1, 6]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -7]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[-1, -4]], [[-1, -7]], [[-1, 1]], [[-1, -7]], [[-1, 4]], [[1, 2]], [[-1, -1]], [[-1, -7]], [[1, -7]], [[-1, 2]], [[1, -1]], [[1, -1]], [[-1, -7]], [[1, -7]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 4]], [[-1, 4]], [[1, 2]], [[1, -4]], [[-1, 7]], [[1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[1, -2]], [[-1, 1]], [[1, 7]], [[-1, -2]], [[1, 4]], [[1, 1]], [[-1, 2]], [[-1, 7]], [[1, -2]]]}
  • id: 402499
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 73, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 8, 'label': '240.82.1u1', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 1]], [[1, -7]], [[1, -3]], [[1, -6]], [[-1, 6]], [[1, 3]], [[1, -6]], [[1, 3]], [[1, 6]], [[-1, -3]], [[1, 6]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[1, -3]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, 1]], [[1, 7]], [[1, -4]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 2]], [[1, 4]], [[1, -2]], [[-1, -4]], [[-1, -7]], [[-1, -2]], [[-1, -2]], [[-1, 7]], [[-1, 4]], [[-1, -7]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[-1, 7]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[1, -7]], [[-1, 4]], [[1, -2]], [[1, 1]], [[-1, 1]], [[1, 4]], [[-1, -2]], [[-1, -2]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -7]], [[1, -7]], [[-1, 4]], [[-1, 7]], [[1, -1]], [[-1, 7]], [[1, -4]], [[1, 7]], [[1, -2]], [[1, 7]], [[-1, -4]], [[1, 2]], [[-1, -1]], [[1, -4]], [[-1, -7]], [[-1, 2]], [[1, 4]], [[1, -1]], [[-1, -4]]]}
  • id: 402500
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 74, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 8, 'label': '240.82.1u2', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -1]], [[1, 7]], [[1, 3]], [[1, 6]], [[-1, -6]], [[1, -3]], [[1, 6]], [[1, -3]], [[1, -6]], [[-1, 3]], [[1, -6]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[1, 3]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, -1]], [[1, -7]], [[1, 4]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -2]], [[1, -4]], [[1, 2]], [[-1, 4]], [[-1, 7]], [[-1, 2]], [[-1, 2]], [[-1, -7]], [[-1, -4]], [[-1, 7]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[-1, -7]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[1, 7]], [[-1, -4]], [[1, 2]], [[1, -1]], [[-1, -1]], [[1, -4]], [[-1, 2]], [[-1, 2]], [[1, -1]], [[-1, -1]], [[1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, -4]], [[-1, -7]], [[1, 1]], [[-1, -7]], [[1, 4]], [[1, -7]], [[1, 2]], [[1, -7]], [[-1, 4]], [[1, -2]], [[-1, 1]], [[1, 4]], [[-1, 7]], [[-1, -2]], [[1, -4]], [[1, 1]], [[-1, 4]]]}
  • id: 402501
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 75, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 8, 'label': '240.82.1u3', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 7]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 2]], [[1, 3]], [[1, 6]], [[-1, -6]], [[1, -3]], [[1, 6]], [[1, -3]], [[1, -6]], [[-1, 3]], [[1, -6]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, -7]], [[1, 1]], [[1, 7]], [[-1, -1]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, -1]], [[-1, -7]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -7]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[1, 7]], [[1, 4]], [[-1, 4]], [[1, 1]], [[-1, 7]], [[-1, 7]], [[1, 4]], [[-1, 4]], [[1, -7]], [[-1, -7]], [[-1, -4]], [[-1, 2]], [[1, 2]], [[-1, 1]], [[-1, -2]], [[1, -4]], [[-1, -2]], [[1, -1]], [[1, -2]], [[1, 7]], [[1, -2]], [[-1, -1]], [[1, -7]], [[-1, -4]], [[1, -1]], [[-1, 2]], [[-1, -7]], [[1, 1]], [[1, -4]], [[-1, -1]]]}
  • id: 402502
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 76, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 8, 'label': '240.82.1u4', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, -5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -7]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -2]], [[1, -3]], [[1, -6]], [[-1, 6]], [[1, 3]], [[1, -6]], [[1, 3]], [[1, 6]], [[-1, -3]], [[1, 6]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[1, -3]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, 7]], [[1, -1]], [[1, -7]], [[-1, 1]], [[-1, -2]], [[-1, -7]], [[-1, -7]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, 1]], [[-1, 7]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 7]], [[-1, -4]], [[1, -2]], [[-1, -1]], [[1, -7]], [[1, -4]], [[-1, -4]], [[1, -1]], [[-1, -7]], [[-1, -7]], [[1, -4]], [[-1, -4]], [[1, 7]], [[-1, 7]], [[-1, 4]], [[-1, -2]], [[1, -2]], [[-1, -1]], [[-1, 2]], [[1, 4]], [[-1, 2]], [[1, 1]], [[1, 2]], [[1, -7]], [[1, 2]], [[-1, 1]], [[1, 7]], [[-1, 4]], [[1, 1]], [[-1, -2]], [[-1, 7]], [[1, -1]], [[1, 4]], [[-1, 1]]]}
  • id: 402503
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 77, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 8, 'label': '240.82.1u5', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 4]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[1, 6]], [[1, -3]], [[-1, 3]], [[1, -6]], [[1, -3]], [[1, -6]], [[1, 3]], [[-1, 6]], [[1, 3]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[1, 6]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -7]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, 4]], [[-1, -7]], [[-1, -1]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 7]], [[-1, -1]], [[-1, -7]], [[-1, -4]], [[-1, 7]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -2]], [[1, -1]], [[-1, 7]], [[1, 4]], [[1, -2]], [[-1, -2]], [[1, 7]], [[-1, 4]], [[-1, 4]], [[1, -2]], [[-1, -2]], [[1, -4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[1, -1]], [[-1, 7]], [[-1, 1]], [[1, 2]], [[-1, 1]], [[1, -7]], [[1, 1]], [[1, 4]], [[1, 1]], [[-1, -7]], [[1, -4]], [[-1, 2]], [[1, -7]], [[-1, -1]], [[-1, -4]], [[1, 7]], [[1, 2]], [[-1, -7]]]}
  • id: 402504
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 78, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 8, 'label': '240.82.1u6', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, -5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -4]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[1, -6]], [[1, 3]], [[-1, -3]], [[1, 6]], [[1, 3]], [[1, 6]], [[1, -3]], [[-1, -6]], [[1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[1, -6]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 7]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, -4]], [[-1, 7]], [[-1, 1]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, -7]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[-1, -7]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[1, 1]], [[-1, -7]], [[1, -4]], [[1, 2]], [[-1, 2]], [[1, -7]], [[-1, -4]], [[-1, -4]], [[1, 2]], [[-1, 2]], [[1, 4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[1, 1]], [[-1, -7]], [[-1, -1]], [[1, -2]], [[-1, -1]], [[1, 7]], [[1, -1]], [[1, -4]], [[1, -1]], [[-1, 7]], [[1, 4]], [[-1, -2]], [[1, 7]], [[-1, 1]], [[-1, 4]], [[1, -7]], [[1, -2]], [[-1, 7]]]}
  • id: 402505
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 79, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 8, 'label': '240.82.1u7', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -5]], [[1, 5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, 5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 7]], [[1, -4]], [[1, -6]], [[1, 3]], [[-1, -3]], [[1, 6]], [[1, 3]], [[1, 6]], [[1, -3]], [[-1, -6]], [[1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[1, -6]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 7]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 1]], [[-1, 2]], [[-1, -4]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -2]], [[-1, -7]], [[-1, -7]], [[-1, 4]], [[-1, 7]], [[-1, -1]], [[-1, 7]], [[1, -4]], [[-1, -2]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, -2]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, -1]], [[-1, -1]], [[-1, -7]], [[-1, -4]], [[1, -4]], [[-1, -2]], [[-1, 4]], [[1, -7]], [[-1, 4]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, 4]], [[-1, 2]], [[1, -1]], [[-1, -7]], [[1, 2]], [[-1, -4]], [[-1, -1]], [[1, -2]], [[1, -7]], [[-1, 2]]]}
  • id: 402507
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 80, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.b1.a1', 'kernel_order': 8, 'label': '240.82.1u8', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 5]], [[1, -5]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, -5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -7]], [[1, 4]], [[1, 6]], [[1, -3]], [[-1, 3]], [[1, -6]], [[1, -3]], [[1, -6]], [[1, 3]], [[-1, 6]], [[1, 3]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[1, 6]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -7]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -1]], [[-1, -2]], [[-1, 4]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 2]], [[-1, 7]], [[-1, 7]], [[-1, -4]], [[-1, -7]], [[-1, 1]], [[-1, -7]], [[1, 4]], [[-1, 2]], [[1, -1]], [[1, -7]], [[-1, -7]], [[1, 2]], [[-1, -1]], [[-1, -1]], [[1, -7]], [[-1, -7]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[-1, -4]], [[1, 7]], [[-1, -4]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, -4]], [[-1, -2]], [[1, 1]], [[-1, 7]], [[1, -2]], [[-1, 4]], [[-1, 1]], [[1, 2]], [[1, 7]], [[-1, -2]]]}
  • id: 402508
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 81, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.82.1v1', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -3]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 1]], [[1, -7]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[-1, 3]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, 1]], [[1, 7]], [[1, -4]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -1]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, -2]], [[1, -2]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, 1]], [[-1, -7]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -7]], [[-1, -7]], [[-1, 4]], [[-1, 7]], [[-1, -1]], [[-1, 7]], [[-1, -4]], [[-1, 7]], [[-1, -2]], [[-1, 7]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -4]], [[-1, -7]], [[-1, 2]], [[-1, 4]], [[-1, -1]], [[-1, -4]]]}
  • id: 402509
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 82, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.82.1v2', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 3]], [[-1, -5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -1]], [[1, 7]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[-1, -3]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, -1]], [[1, -7]], [[1, 4]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 1]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, 2]], [[1, 2]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, -1]], [[-1, 7]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -2]], [[-1, -2]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, -4]], [[-1, -7]], [[-1, 1]], [[-1, -7]], [[-1, 4]], [[-1, -7]], [[-1, 2]], [[-1, -7]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 4]], [[-1, 7]], [[-1, -2]], [[-1, -4]], [[-1, 1]], [[-1, 4]]]}
  • id: 402510
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 83, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.82.1v3', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 6]], [[1, -3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 3]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 7]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, 4]], [[1, 2]], [[-1, 3]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[-1, -3]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 4]], [[1, -2]], [[1, -1]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -4]], [[1, -1]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, -7]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 7]], [[1, 7]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[-1, 4]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 4]], [[-1, 4]], [[-1, -7]], [[-1, -7]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, 1]], [[-1, -2]], [[-1, -4]], [[-1, -2]], [[-1, -1]], [[-1, -2]], [[-1, 7]], [[-1, -2]], [[-1, -1]], [[-1, -7]], [[-1, -4]], [[-1, -1]], [[-1, 2]], [[-1, -7]], [[-1, 1]], [[-1, -4]], [[-1, -1]]]}
  • id: 402511
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 84, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.82.1v4', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -6]], [[1, 3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -3]], [[-1, -5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -7]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, -4]], [[1, -2]], [[-1, -3]], [[-1, -6]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[-1, 3]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[1, -4]], [[1, -2]], [[1, 4]], [[1, -4]], [[1, 2]], [[1, 1]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 4]], [[1, 1]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, 7]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -7]], [[1, -7]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -4]], [[-1, -2]], [[-1, -1]], [[-1, -7]], [[-1, -4]], [[-1, -4]], [[-1, -1]], [[-1, -7]], [[-1, -7]], [[-1, -4]], [[-1, -4]], [[-1, 7]], [[-1, 7]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, -1]], [[-1, 2]], [[-1, 4]], [[-1, 2]], [[-1, 1]], [[-1, 2]], [[-1, -7]], [[-1, 2]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[-1, 1]], [[-1, -2]], [[-1, 7]], [[-1, -1]], [[-1, 4]], [[-1, 1]]]}
  • id: 402512
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 85, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.82.1v5', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 6]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 4]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, 2]], [[1, -2]], [[1, -1]], [[-1, 6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[-1, -6]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -2]], [[1, 1]], [[1, -7]], [[1, 7]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 2]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -2]], [[1, -7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, -4]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, 4]], [[1, 4]], [[1, 1]], [[1, 7]], [[1, -1]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 2]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -2]], [[-1, -1]], [[-1, 7]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, 7]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, -2]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, 7]], [[-1, 1]], [[-1, 2]], [[-1, 1]], [[-1, -7]], [[-1, 1]], [[-1, 4]], [[-1, 1]], [[-1, -7]], [[-1, -4]], [[-1, 2]], [[-1, -7]], [[-1, -1]], [[-1, -4]], [[-1, 7]], [[-1, 2]], [[-1, -7]]]}
  • id: 402513
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 86, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.82.1v6', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -6]], [[-1, -5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -4]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -1]], [[1, -2]], [[1, 2]], [[1, 1]], [[-1, -6]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 2]], [[1, -1]], [[1, 7]], [[1, -7]], [[1, 1]], [[1, -2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -2]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 2]], [[1, 7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, 4]], [[1, -7]], [[1, -4]], [[1, 7]], [[1, 1]], [[1, -4]], [[1, -4]], [[1, -1]], [[1, -7]], [[1, 1]], [[1, 7]], [[1, 4]], [[1, -7]], [[1, -2]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, 4]], [[1, 2]], [[-1, 1]], [[-1, -7]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, -7]], [[-1, -4]], [[-1, -4]], [[-1, 2]], [[-1, 2]], [[-1, 4]], [[-1, 4]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, -7]], [[-1, -1]], [[-1, -2]], [[-1, -1]], [[-1, 7]], [[-1, -1]], [[-1, -4]], [[-1, -1]], [[-1, 7]], [[-1, 4]], [[-1, -2]], [[-1, 7]], [[-1, 1]], [[-1, 4]], [[-1, -7]], [[-1, -2]], [[-1, 7]]]}
  • id: 402514
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 87, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.82.1v7', 'nt': [30, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -5]], [[1, 5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, -6]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 3]], [[1, 6]], [[1, 6]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, -6]], [[1, 6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, -3]], [[1, -6]], [[1, 6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, -6]], [[-1, 5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, -5]], [[-1, -5]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -7]], [[1, 7]], [[1, -4]], [[-1, -6]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[-1, 6]], [[-1, -3]], [[-1, -6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, 6]], [[-1, -3]], [[-1, 6]], [[-1, 3]], [[-1, -6]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 7]], [[1, 4]], [[1, 2]], [[1, -2]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, 4]], [[1, -1]], [[1, -7]], [[1, 2]], [[1, 1]], [[1, -2]], [[1, 7]], [[1, 2]], [[1, -4]], [[1, -1]], [[1, 4]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 1]], [[1, 1]], [[1, 4]], [[1, -2]], [[1, -4]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, -7]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, 7]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, -2]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, -1]], [[-1, -1]], [[-1, -7]], [[-1, -4]], [[-1, -4]], [[-1, -2]], [[-1, 4]], [[-1, -7]], [[-1, 4]], [[-1, 2]], [[-1, 4]], [[-1, 1]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -7]], [[-1, 2]], [[-1, -4]], [[-1, -1]], [[-1, -2]], [[-1, -7]], [[-1, 2]]]}
  • id: 402515
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 88, 'cyclotomic_n': 15, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '30.4', 'image_order': 30, 'indicator': 0, 'kernel': '30.a1.a1', 'kernel_order': 8, 'label': '240.82.1v8', 'nt': [30, 8], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 5]], [[1, -5]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -3]], [[1, 3]], [[1, -6]], [[1, 6]], [[1, -5]], [[1, 5]], [[1, 5]], [[1, -5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -5]], [[1, 5]], [[1, -3]], [[1, -6]], [[1, -6]], [[1, 3]], [[1, -3]], [[1, 6]], [[1, 6]], [[1, -6]], [[1, 3]], [[1, 6]], [[1, 3]], [[1, -3]], [[1, 3]], [[1, 6]], [[1, -6]], [[1, -3]], [[1, -6]], [[1, -3]], [[1, 3]], [[1, 6]], [[-1, -5]], [[-1, -5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[-1, -5]], [[-1, 5]], [[-1, 5]], [[1, -1]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, -4]], [[1, 7]], [[1, -7]], [[1, 4]], [[-1, 6]], [[-1, -3]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[-1, -6]], [[-1, 3]], [[-1, 6]], [[-1, 3]], [[-1, -3]], [[-1, 6]], [[-1, -6]], [[-1, 3]], [[-1, -6]], [[-1, -3]], [[-1, 6]], [[1, -7]], [[1, 4]], [[1, 7]], [[1, -7]], [[1, -4]], [[1, -2]], [[1, 2]], [[1, 4]], [[1, 7]], [[1, -1]], [[1, -4]], [[1, 1]], [[1, 7]], [[1, -2]], [[1, -1]], [[1, 2]], [[1, -7]], [[1, -2]], [[1, 4]], [[1, 1]], [[1, -4]], [[1, 1]], [[1, 2]], [[1, -1]], [[1, -2]], [[1, 4]], [[1, -1]], [[1, -1]], [[1, -4]], [[1, 2]], [[1, 4]], [[1, -2]], [[1, 1]], [[1, 2]], [[1, 7]], [[1, 7]], [[1, -4]], [[1, -7]], [[1, 1]], [[1, -7]], [[-1, 4]], [[-1, 2]], [[-1, -1]], [[-1, -7]], [[-1, -7]], [[-1, 2]], [[-1, -1]], [[-1, -1]], [[-1, -7]], [[-1, -7]], [[-1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 4]], [[-1, 4]], [[-1, 2]], [[-1, -4]], [[-1, 7]], [[-1, -4]], [[-1, -2]], [[-1, -4]], [[-1, -1]], [[-1, -4]], [[-1, -2]], [[-1, 1]], [[-1, 7]], [[-1, -2]], [[-1, 4]], [[-1, 1]], [[-1, 2]], [[-1, 7]], [[-1, -2]]]}
  • id: 402516
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 89, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w1', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 20]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 18]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 24]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 18]], [[-1, 24]], [[1, 6]], [[-1, 24]], [[-1, 18]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 24]], [[1, 18]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 25]], [[1, 25]], [[-1, 22]], [[-1, 14]], [[1, 8]], [[1, 16]], [[1, 28]], [[-1, 26]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 21]], [[1, 9]], [[1, 27]], [[1, 21]], [[-1, 27]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 21]], [[-1, 3]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[-1, 21]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, 26]], [[-1, 4]], [[1, 28]], [[1, 14]], [[-1, 16]], [[1, 2]], [[-1, 26]], [[1, 22]], [[-1, 28]], [[-1, 8]], [[1, 26]], [[-1, 14]], [[-1, 22]], [[1, 16]], [[-1, 4]], [[1, 14]], [[-1, 2]], [[-1, 8]], [[-1, 28]], [[1, 8]], [[-1, 16]], [[1, 22]], [[-1, 14]], [[-1, 2]], [[-1, 22]], [[1, 22]], [[1, 28]], [[-1, 16]], [[1, 2]], [[1, 14]], [[1, 8]], [[1, 16]], [[-1, 26]], [[1, 26]], [[-1, 28]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[-1, 17]], [[1, 1]], [[1, 7]], [[-1, 19]], [[-1, 19]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[1, 19]], [[1, 19]], [[1, 23]], [[1, 23]], [[1, 11]], [[1, 17]], [[1, 17]], [[-1, 1]], [[-1, 13]], [[1, 11]], [[1, 13]], [[-1, 29]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[-1, 29]], [[-1, 23]], [[-1, 11]], [[1, 29]], [[-1, 17]], [[-1, 23]], [[1, 1]], [[-1, 11]], [[1, 29]]]}
  • id: 402526
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 98, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w10', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 20]], [[-1, 10]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 12]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[1, 24]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 24]], [[-1, 12]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 24]], [[1, 6]], [[1, 12]], [[-1, 18]], [[-1, 24]], [[1, 18]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 25]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 5]], [[1, 5]], [[1, 8]], [[1, 16]], [[-1, 22]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 26]], [[1, 28]], [[1, 27]], [[-1, 9]], [[1, 21]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 21]], [[1, 27]], [[-1, 21]], [[1, 9]], [[-1, 27]], [[-1, 3]], [[-1, 21]], [[1, 3]], [[-1, 9]], [[-1, 27]], [[-1, 26]], [[-1, 28]], [[-1, 4]], [[1, 26]], [[-1, 2]], [[-1, 16]], [[1, 14]], [[-1, 28]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 22]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 14]], [[1, 26]], [[-1, 16]], [[1, 28]], [[1, 22]], [[1, 2]], [[-1, 22]], [[1, 14]], [[-1, 8]], [[1, 16]], [[1, 28]], [[1, 8]], [[-1, 8]], [[-1, 2]], [[1, 14]], [[-1, 28]], [[-1, 16]], [[-1, 22]], [[-1, 14]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 26]], [[1, 22]], [[1, 26]], [[-1, 13]], [[1, 29]], [[1, 23]], [[-1, 11]], [[-1, 11]], [[-1, 29]], [[1, 23]], [[-1, 23]], [[1, 11]], [[1, 11]], [[1, 7]], [[1, 7]], [[1, 19]], [[1, 13]], [[1, 13]], [[-1, 29]], [[-1, 17]], [[1, 19]], [[1, 17]], [[-1, 1]], [[1, 17]], [[-1, 23]], [[-1, 17]], [[-1, 1]], [[-1, 7]], [[-1, 19]], [[1, 1]], [[-1, 13]], [[-1, 7]], [[1, 29]], [[-1, 19]], [[1, 1]]]}
  • id: 402527
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 99, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w11', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 20]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 12]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 24]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 24]], [[-1, 12]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 24]], [[1, 6]], [[1, 12]], [[-1, 18]], [[-1, 24]], [[1, 18]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[1, 4]], [[-1, 22]], [[-1, 14]], [[1, 16]], [[1, 8]], [[-1, 27]], [[1, 9]], [[-1, 21]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 21]], [[-1, 27]], [[1, 21]], [[-1, 9]], [[1, 27]], [[1, 3]], [[1, 21]], [[-1, 3]], [[1, 9]], [[1, 27]], [[1, 16]], [[-1, 8]], [[1, 14]], [[-1, 16]], [[-1, 22]], [[1, 26]], [[-1, 4]], [[-1, 8]], [[-1, 14]], [[-1, 28]], [[1, 22]], [[1, 2]], [[1, 14]], [[-1, 26]], [[1, 28]], [[1, 4]], [[-1, 16]], [[1, 26]], [[1, 8]], [[1, 2]], [[1, 22]], [[-1, 2]], [[-1, 4]], [[-1, 28]], [[-1, 26]], [[1, 8]], [[1, 28]], [[-1, 28]], [[-1, 22]], [[-1, 4]], [[-1, 8]], [[1, 26]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[1, 14]], [[1, 22]], [[1, 16]], [[1, 2]], [[-1, 16]], [[-1, 23]], [[1, 19]], [[1, 13]], [[-1, 1]], [[-1, 1]], [[-1, 19]], [[1, 13]], [[-1, 13]], [[1, 1]], [[1, 1]], [[1, 17]], [[1, 17]], [[1, 29]], [[1, 23]], [[1, 23]], [[-1, 19]], [[-1, 7]], [[1, 29]], [[1, 7]], [[-1, 11]], [[1, 7]], [[-1, 13]], [[-1, 7]], [[-1, 11]], [[-1, 17]], [[-1, 29]], [[1, 11]], [[-1, 23]], [[-1, 17]], [[1, 19]], [[-1, 29]], [[1, 11]]]}
  • id: 402380
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 100, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w12', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 20]], [[-1, 10]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 18]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 24]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 18]], [[-1, 24]], [[1, 6]], [[-1, 24]], [[-1, 18]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 24]], [[1, 18]], [[-1, 25]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 28]], [[-1, 26]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 22]], [[1, 3]], [[-1, 21]], [[1, 9]], [[1, 27]], [[1, 21]], [[-1, 27]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 21]], [[-1, 3]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[-1, 21]], [[-1, 3]], [[-1, 14]], [[1, 22]], [[-1, 16]], [[1, 14]], [[1, 8]], [[-1, 4]], [[1, 26]], [[1, 22]], [[1, 16]], [[1, 2]], [[-1, 8]], [[-1, 28]], [[-1, 16]], [[1, 4]], [[-1, 2]], [[-1, 26]], [[1, 14]], [[-1, 4]], [[-1, 22]], [[-1, 28]], [[-1, 8]], [[1, 28]], [[1, 26]], [[1, 2]], [[1, 4]], [[-1, 22]], [[-1, 2]], [[1, 2]], [[1, 8]], [[1, 26]], [[1, 22]], [[-1, 4]], [[1, 28]], [[-1, 26]], [[1, 16]], [[-1, 16]], [[-1, 8]], [[-1, 14]], [[-1, 28]], [[1, 14]], [[1, 7]], [[-1, 11]], [[-1, 17]], [[1, 29]], [[1, 29]], [[1, 11]], [[-1, 17]], [[1, 17]], [[-1, 29]], [[-1, 29]], [[-1, 13]], [[-1, 13]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 11]], [[1, 23]], [[-1, 1]], [[-1, 23]], [[1, 19]], [[-1, 23]], [[1, 17]], [[1, 23]], [[1, 19]], [[1, 13]], [[1, 1]], [[-1, 19]], [[1, 7]], [[1, 13]], [[-1, 11]], [[1, 1]], [[-1, 19]]]}
  • id: 402381
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 101, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w13', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 20]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 24]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 12]], [[1, 18]], [[-1, 24]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[1, 18]], [[-1, 12]], [[1, 24]], [[-1, 6]], [[1, 18]], [[1, 6]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[1, 28]], [[1, 4]], [[1, 8]], [[-1, 22]], [[-1, 26]], [[1, 9]], [[-1, 3]], [[1, 27]], [[1, 21]], [[1, 3]], [[-1, 21]], [[1, 27]], [[1, 9]], [[-1, 27]], [[1, 3]], [[-1, 9]], [[-1, 21]], [[-1, 27]], [[1, 21]], [[-1, 3]], [[-1, 9]], [[-1, 22]], [[1, 26]], [[-1, 8]], [[1, 22]], [[1, 4]], [[1, 2]], [[-1, 28]], [[1, 26]], [[1, 8]], [[-1, 16]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 2]], [[1, 16]], [[1, 28]], [[1, 22]], [[1, 2]], [[-1, 26]], [[1, 14]], [[-1, 4]], [[-1, 14]], [[-1, 28]], [[-1, 16]], [[-1, 2]], [[-1, 26]], [[1, 16]], [[-1, 16]], [[1, 4]], [[-1, 28]], [[1, 26]], [[1, 2]], [[-1, 14]], [[1, 28]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 22]], [[1, 14]], [[1, 22]], [[-1, 11]], [[-1, 13]], [[1, 1]], [[1, 7]], [[1, 7]], [[1, 13]], [[1, 1]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[1, 29]], [[1, 29]], [[-1, 23]], [[1, 11]], [[1, 11]], [[1, 13]], [[-1, 19]], [[-1, 23]], [[1, 19]], [[1, 17]], [[1, 19]], [[-1, 1]], [[-1, 19]], [[1, 17]], [[-1, 29]], [[1, 23]], [[-1, 17]], [[-1, 11]], [[-1, 29]], [[-1, 13]], [[1, 23]], [[-1, 17]]]}
  • id: 402382
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 102, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w14', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 20]], [[-1, 10]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 6]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 18]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 6]], [[1, 18]], [[-1, 12]], [[1, 18]], [[-1, 6]], [[1, 24]], [[-1, 12]], [[-1, 24]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 25]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 14]], [[1, 28]], [[1, 16]], [[-1, 2]], [[-1, 26]], [[-1, 22]], [[1, 8]], [[1, 4]], [[-1, 21]], [[1, 27]], [[-1, 3]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[-1, 3]], [[-1, 21]], [[1, 3]], [[-1, 27]], [[1, 21]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 27]], [[1, 21]], [[1, 8]], [[-1, 4]], [[1, 22]], [[-1, 8]], [[-1, 26]], [[-1, 28]], [[1, 2]], [[-1, 4]], [[-1, 22]], [[1, 14]], [[1, 26]], [[-1, 16]], [[1, 22]], [[1, 28]], [[-1, 14]], [[-1, 2]], [[-1, 8]], [[-1, 28]], [[1, 4]], [[-1, 16]], [[1, 26]], [[1, 16]], [[1, 2]], [[1, 14]], [[1, 28]], [[1, 4]], [[-1, 14]], [[1, 14]], [[-1, 26]], [[1, 2]], [[-1, 4]], [[-1, 28]], [[1, 16]], [[-1, 2]], [[-1, 22]], [[1, 22]], [[1, 26]], [[1, 8]], [[-1, 16]], [[-1, 8]], [[1, 19]], [[1, 17]], [[-1, 29]], [[-1, 23]], [[-1, 23]], [[-1, 17]], [[-1, 29]], [[1, 29]], [[1, 23]], [[1, 23]], [[-1, 1]], [[-1, 1]], [[1, 7]], [[-1, 19]], [[-1, 19]], [[-1, 17]], [[1, 11]], [[1, 7]], [[-1, 11]], [[-1, 13]], [[-1, 11]], [[1, 29]], [[1, 11]], [[-1, 13]], [[1, 1]], [[-1, 7]], [[1, 13]], [[1, 19]], [[1, 1]], [[1, 17]], [[-1, 7]], [[1, 13]]]}
  • id: 402383
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 103, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w15', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 20]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 6]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 18]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 6]], [[1, 18]], [[-1, 12]], [[1, 18]], [[-1, 6]], [[1, 24]], [[-1, 12]], [[-1, 24]], [[1, 12]], [[-1, 18]], [[1, 6]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 4]], [[1, 8]], [[-1, 26]], [[-1, 22]], [[1, 16]], [[-1, 2]], [[1, 28]], [[-1, 14]], [[1, 21]], [[-1, 27]], [[1, 3]], [[1, 9]], [[1, 27]], [[-1, 9]], [[1, 3]], [[1, 21]], [[-1, 3]], [[1, 27]], [[-1, 21]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 27]], [[-1, 21]], [[1, 28]], [[1, 14]], [[1, 2]], [[-1, 28]], [[1, 16]], [[-1, 8]], [[1, 22]], [[1, 14]], [[-1, 2]], [[-1, 4]], [[-1, 16]], [[1, 26]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 22]], [[-1, 28]], [[-1, 8]], [[-1, 14]], [[1, 26]], [[-1, 16]], [[-1, 26]], [[1, 22]], [[-1, 4]], [[1, 8]], [[-1, 14]], [[1, 4]], [[-1, 4]], [[1, 16]], [[1, 22]], [[1, 14]], [[-1, 8]], [[-1, 26]], [[-1, 22]], [[-1, 2]], [[1, 2]], [[-1, 16]], [[1, 28]], [[1, 26]], [[-1, 28]], [[1, 29]], [[1, 7]], [[-1, 19]], [[-1, 13]], [[-1, 13]], [[-1, 7]], [[-1, 19]], [[1, 19]], [[1, 13]], [[1, 13]], [[-1, 11]], [[-1, 11]], [[1, 17]], [[-1, 29]], [[-1, 29]], [[-1, 7]], [[1, 1]], [[1, 17]], [[-1, 1]], [[-1, 23]], [[-1, 1]], [[1, 19]], [[1, 1]], [[-1, 23]], [[1, 11]], [[-1, 17]], [[1, 23]], [[1, 29]], [[1, 11]], [[1, 7]], [[-1, 17]], [[1, 23]]]}
  • id: 402384
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 104, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w16', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 20]], [[-1, 10]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 24]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 12]], [[1, 18]], [[-1, 24]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[1, 18]], [[-1, 12]], [[1, 24]], [[-1, 6]], [[1, 18]], [[1, 6]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[-1, 25]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 26]], [[-1, 22]], [[1, 4]], [[1, 8]], [[-1, 14]], [[1, 28]], [[-1, 2]], [[1, 16]], [[-1, 9]], [[1, 3]], [[-1, 27]], [[-1, 21]], [[-1, 3]], [[1, 21]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[-1, 3]], [[1, 9]], [[1, 21]], [[1, 27]], [[-1, 21]], [[1, 3]], [[1, 9]], [[-1, 2]], [[-1, 16]], [[-1, 28]], [[1, 2]], [[-1, 14]], [[1, 22]], [[-1, 8]], [[-1, 16]], [[1, 28]], [[1, 26]], [[1, 14]], [[-1, 4]], [[-1, 28]], [[-1, 22]], [[-1, 26]], [[1, 8]], [[1, 2]], [[1, 22]], [[1, 16]], [[-1, 4]], [[1, 14]], [[1, 4]], [[-1, 8]], [[1, 26]], [[-1, 22]], [[1, 16]], [[-1, 26]], [[1, 26]], [[-1, 14]], [[-1, 8]], [[-1, 16]], [[1, 22]], [[1, 4]], [[1, 8]], [[1, 28]], [[-1, 28]], [[1, 14]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[-1, 1]], [[-1, 23]], [[1, 11]], [[1, 17]], [[1, 17]], [[1, 23]], [[1, 11]], [[-1, 11]], [[-1, 17]], [[-1, 17]], [[1, 19]], [[1, 19]], [[-1, 13]], [[1, 1]], [[1, 1]], [[1, 23]], [[-1, 29]], [[-1, 13]], [[1, 29]], [[1, 7]], [[1, 29]], [[-1, 11]], [[-1, 29]], [[1, 7]], [[-1, 19]], [[1, 13]], [[-1, 7]], [[-1, 1]], [[-1, 19]], [[-1, 23]], [[1, 13]], [[-1, 7]]]}
  • id: 402518
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 90, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w2', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 20]], [[-1, 10]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 12]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[1, 24]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 24]], [[-1, 12]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 24]], [[1, 6]], [[1, 12]], [[-1, 18]], [[-1, 24]], [[1, 18]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[1, 25]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[1, 8]], [[1, 16]], [[-1, 22]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 26]], [[1, 28]], [[-1, 27]], [[1, 9]], [[-1, 21]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 21]], [[-1, 27]], [[1, 21]], [[-1, 9]], [[1, 27]], [[1, 3]], [[1, 21]], [[-1, 3]], [[1, 9]], [[1, 27]], [[-1, 26]], [[-1, 28]], [[-1, 4]], [[1, 26]], [[-1, 2]], [[-1, 16]], [[1, 14]], [[-1, 28]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 22]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 14]], [[1, 26]], [[-1, 16]], [[1, 28]], [[1, 22]], [[1, 2]], [[-1, 22]], [[1, 14]], [[-1, 8]], [[1, 16]], [[1, 28]], [[1, 8]], [[-1, 8]], [[-1, 2]], [[1, 14]], [[-1, 28]], [[-1, 16]], [[-1, 22]], [[-1, 14]], [[1, 4]], [[-1, 4]], [[1, 2]], [[-1, 26]], [[1, 22]], [[1, 26]], [[1, 13]], [[-1, 29]], [[-1, 23]], [[1, 11]], [[1, 11]], [[1, 29]], [[-1, 23]], [[1, 23]], [[-1, 11]], [[-1, 11]], [[-1, 7]], [[-1, 7]], [[-1, 19]], [[-1, 13]], [[-1, 13]], [[1, 29]], [[1, 17]], [[-1, 19]], [[-1, 17]], [[1, 1]], [[-1, 17]], [[1, 23]], [[1, 17]], [[1, 1]], [[1, 7]], [[1, 19]], [[-1, 1]], [[1, 13]], [[1, 7]], [[-1, 29]], [[1, 19]], [[-1, 1]]]}
  • id: 402519
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 91, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w3', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 20]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 12]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 24]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 24]], [[-1, 12]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 24]], [[1, 6]], [[1, 12]], [[-1, 18]], [[-1, 24]], [[1, 18]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[1, 4]], [[-1, 22]], [[-1, 14]], [[1, 16]], [[1, 8]], [[1, 27]], [[-1, 9]], [[1, 21]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 21]], [[1, 27]], [[-1, 21]], [[1, 9]], [[-1, 27]], [[-1, 3]], [[-1, 21]], [[1, 3]], [[-1, 9]], [[-1, 27]], [[1, 16]], [[-1, 8]], [[1, 14]], [[-1, 16]], [[-1, 22]], [[1, 26]], [[-1, 4]], [[-1, 8]], [[-1, 14]], [[-1, 28]], [[1, 22]], [[1, 2]], [[1, 14]], [[-1, 26]], [[1, 28]], [[1, 4]], [[-1, 16]], [[1, 26]], [[1, 8]], [[1, 2]], [[1, 22]], [[-1, 2]], [[-1, 4]], [[-1, 28]], [[-1, 26]], [[1, 8]], [[1, 28]], [[-1, 28]], [[-1, 22]], [[-1, 4]], [[-1, 8]], [[1, 26]], [[-1, 2]], [[1, 4]], [[-1, 14]], [[1, 14]], [[1, 22]], [[1, 16]], [[1, 2]], [[-1, 16]], [[1, 23]], [[-1, 19]], [[-1, 13]], [[1, 1]], [[1, 1]], [[1, 19]], [[-1, 13]], [[1, 13]], [[-1, 1]], [[-1, 1]], [[-1, 17]], [[-1, 17]], [[-1, 29]], [[-1, 23]], [[-1, 23]], [[1, 19]], [[1, 7]], [[-1, 29]], [[-1, 7]], [[1, 11]], [[-1, 7]], [[1, 13]], [[1, 7]], [[1, 11]], [[1, 17]], [[1, 29]], [[-1, 11]], [[1, 23]], [[1, 17]], [[-1, 19]], [[1, 29]], [[-1, 11]]]}
  • id: 402520
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 92, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w4', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 20]], [[-1, 10]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 18]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 24]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 18]], [[-1, 24]], [[1, 6]], [[-1, 24]], [[-1, 18]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 25]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 28]], [[-1, 26]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 22]], [[-1, 3]], [[1, 21]], [[-1, 9]], [[-1, 27]], [[-1, 21]], [[1, 27]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 21]], [[1, 3]], [[1, 27]], [[1, 9]], [[-1, 27]], [[1, 21]], [[1, 3]], [[-1, 14]], [[1, 22]], [[-1, 16]], [[1, 14]], [[1, 8]], [[-1, 4]], [[1, 26]], [[1, 22]], [[1, 16]], [[1, 2]], [[-1, 8]], [[-1, 28]], [[-1, 16]], [[1, 4]], [[-1, 2]], [[-1, 26]], [[1, 14]], [[-1, 4]], [[-1, 22]], [[-1, 28]], [[-1, 8]], [[1, 28]], [[1, 26]], [[1, 2]], [[1, 4]], [[-1, 22]], [[-1, 2]], [[1, 2]], [[1, 8]], [[1, 26]], [[1, 22]], [[-1, 4]], [[1, 28]], [[-1, 26]], [[1, 16]], [[-1, 16]], [[-1, 8]], [[-1, 14]], [[-1, 28]], [[1, 14]], [[-1, 7]], [[1, 11]], [[1, 17]], [[-1, 29]], [[-1, 29]], [[-1, 11]], [[1, 17]], [[-1, 17]], [[1, 29]], [[1, 29]], [[1, 13]], [[1, 13]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 11]], [[-1, 23]], [[1, 1]], [[1, 23]], [[-1, 19]], [[1, 23]], [[-1, 17]], [[-1, 23]], [[-1, 19]], [[-1, 13]], [[-1, 1]], [[1, 19]], [[-1, 7]], [[-1, 13]], [[1, 11]], [[-1, 1]], [[1, 19]]]}
  • id: 402521
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 93, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w5', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 20]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 24]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 12]], [[1, 18]], [[-1, 24]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[1, 18]], [[-1, 12]], [[1, 24]], [[-1, 6]], [[1, 18]], [[1, 6]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[1, 28]], [[1, 4]], [[1, 8]], [[-1, 22]], [[-1, 26]], [[-1, 9]], [[1, 3]], [[-1, 27]], [[-1, 21]], [[-1, 3]], [[1, 21]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[-1, 3]], [[1, 9]], [[1, 21]], [[1, 27]], [[-1, 21]], [[1, 3]], [[1, 9]], [[-1, 22]], [[1, 26]], [[-1, 8]], [[1, 22]], [[1, 4]], [[1, 2]], [[-1, 28]], [[1, 26]], [[1, 8]], [[-1, 16]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 2]], [[1, 16]], [[1, 28]], [[1, 22]], [[1, 2]], [[-1, 26]], [[1, 14]], [[-1, 4]], [[-1, 14]], [[-1, 28]], [[-1, 16]], [[-1, 2]], [[-1, 26]], [[1, 16]], [[-1, 16]], [[1, 4]], [[-1, 28]], [[1, 26]], [[1, 2]], [[-1, 14]], [[1, 28]], [[1, 8]], [[-1, 8]], [[-1, 4]], [[-1, 22]], [[1, 14]], [[1, 22]], [[1, 11]], [[1, 13]], [[-1, 1]], [[-1, 7]], [[-1, 7]], [[-1, 13]], [[-1, 1]], [[1, 1]], [[1, 7]], [[1, 7]], [[-1, 29]], [[-1, 29]], [[1, 23]], [[-1, 11]], [[-1, 11]], [[-1, 13]], [[1, 19]], [[1, 23]], [[-1, 19]], [[-1, 17]], [[-1, 19]], [[1, 1]], [[1, 19]], [[-1, 17]], [[1, 29]], [[-1, 23]], [[1, 17]], [[1, 11]], [[1, 29]], [[1, 13]], [[-1, 23]], [[1, 17]]]}
  • id: 402522
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 94, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w6', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 20]], [[-1, 10]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 6]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 18]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 6]], [[1, 18]], [[-1, 12]], [[1, 18]], [[-1, 6]], [[1, 24]], [[-1, 12]], [[-1, 24]], [[1, 12]], [[-1, 18]], [[1, 6]], [[1, 25]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 14]], [[1, 28]], [[1, 16]], [[-1, 2]], [[-1, 26]], [[-1, 22]], [[1, 8]], [[1, 4]], [[1, 21]], [[-1, 27]], [[1, 3]], [[1, 9]], [[1, 27]], [[-1, 9]], [[1, 3]], [[1, 21]], [[-1, 3]], [[1, 27]], [[-1, 21]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 27]], [[-1, 21]], [[1, 8]], [[-1, 4]], [[1, 22]], [[-1, 8]], [[-1, 26]], [[-1, 28]], [[1, 2]], [[-1, 4]], [[-1, 22]], [[1, 14]], [[1, 26]], [[-1, 16]], [[1, 22]], [[1, 28]], [[-1, 14]], [[-1, 2]], [[-1, 8]], [[-1, 28]], [[1, 4]], [[-1, 16]], [[1, 26]], [[1, 16]], [[1, 2]], [[1, 14]], [[1, 28]], [[1, 4]], [[-1, 14]], [[1, 14]], [[-1, 26]], [[1, 2]], [[-1, 4]], [[-1, 28]], [[1, 16]], [[-1, 2]], [[-1, 22]], [[1, 22]], [[1, 26]], [[1, 8]], [[-1, 16]], [[-1, 8]], [[-1, 19]], [[-1, 17]], [[1, 29]], [[1, 23]], [[1, 23]], [[1, 17]], [[1, 29]], [[-1, 29]], [[-1, 23]], [[-1, 23]], [[1, 1]], [[1, 1]], [[-1, 7]], [[1, 19]], [[1, 19]], [[1, 17]], [[-1, 11]], [[-1, 7]], [[1, 11]], [[1, 13]], [[1, 11]], [[-1, 29]], [[-1, 11]], [[1, 13]], [[-1, 1]], [[1, 7]], [[-1, 13]], [[-1, 19]], [[-1, 1]], [[-1, 17]], [[1, 7]], [[-1, 13]]]}
  • id: 402523
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 95, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w7', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 20]], [[-1, 15]], [[1, 15]], [[1, 15]], [[-1, 15]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 6]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 18]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 6]], [[1, 18]], [[-1, 12]], [[1, 18]], [[-1, 6]], [[1, 24]], [[-1, 12]], [[-1, 24]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 5]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 4]], [[1, 8]], [[-1, 26]], [[-1, 22]], [[1, 16]], [[-1, 2]], [[1, 28]], [[-1, 14]], [[-1, 21]], [[1, 27]], [[-1, 3]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[-1, 3]], [[-1, 21]], [[1, 3]], [[-1, 27]], [[1, 21]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 27]], [[1, 21]], [[1, 28]], [[1, 14]], [[1, 2]], [[-1, 28]], [[1, 16]], [[-1, 8]], [[1, 22]], [[1, 14]], [[-1, 2]], [[-1, 4]], [[-1, 16]], [[1, 26]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 22]], [[-1, 28]], [[-1, 8]], [[-1, 14]], [[1, 26]], [[-1, 16]], [[-1, 26]], [[1, 22]], [[-1, 4]], [[1, 8]], [[-1, 14]], [[1, 4]], [[-1, 4]], [[1, 16]], [[1, 22]], [[1, 14]], [[-1, 8]], [[-1, 26]], [[-1, 22]], [[-1, 2]], [[1, 2]], [[-1, 16]], [[1, 28]], [[1, 26]], [[-1, 28]], [[-1, 29]], [[-1, 7]], [[1, 19]], [[1, 13]], [[1, 13]], [[1, 7]], [[1, 19]], [[-1, 19]], [[-1, 13]], [[-1, 13]], [[1, 11]], [[1, 11]], [[-1, 17]], [[1, 29]], [[1, 29]], [[1, 7]], [[-1, 1]], [[-1, 17]], [[1, 1]], [[1, 23]], [[1, 1]], [[-1, 19]], [[-1, 1]], [[1, 23]], [[-1, 11]], [[1, 17]], [[-1, 23]], [[-1, 29]], [[-1, 11]], [[-1, 7]], [[1, 17]], [[-1, 23]]]}
  • id: 402524
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 96, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w8', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 20]], [[-1, 10]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 24]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 12]], [[1, 18]], [[-1, 24]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[1, 18]], [[-1, 12]], [[1, 24]], [[-1, 6]], [[1, 18]], [[1, 6]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 25]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 26]], [[-1, 22]], [[1, 4]], [[1, 8]], [[-1, 14]], [[1, 28]], [[-1, 2]], [[1, 16]], [[1, 9]], [[-1, 3]], [[1, 27]], [[1, 21]], [[1, 3]], [[-1, 21]], [[1, 27]], [[1, 9]], [[-1, 27]], [[1, 3]], [[-1, 9]], [[-1, 21]], [[-1, 27]], [[1, 21]], [[-1, 3]], [[-1, 9]], [[-1, 2]], [[-1, 16]], [[-1, 28]], [[1, 2]], [[-1, 14]], [[1, 22]], [[-1, 8]], [[-1, 16]], [[1, 28]], [[1, 26]], [[1, 14]], [[-1, 4]], [[-1, 28]], [[-1, 22]], [[-1, 26]], [[1, 8]], [[1, 2]], [[1, 22]], [[1, 16]], [[-1, 4]], [[1, 14]], [[1, 4]], [[-1, 8]], [[1, 26]], [[-1, 22]], [[1, 16]], [[-1, 26]], [[1, 26]], [[-1, 14]], [[-1, 8]], [[-1, 16]], [[1, 22]], [[1, 4]], [[1, 8]], [[1, 28]], [[-1, 28]], [[1, 14]], [[-1, 2]], [[-1, 4]], [[1, 2]], [[1, 1]], [[1, 23]], [[-1, 11]], [[-1, 17]], [[-1, 17]], [[-1, 23]], [[-1, 11]], [[1, 11]], [[1, 17]], [[1, 17]], [[-1, 19]], [[-1, 19]], [[1, 13]], [[-1, 1]], [[-1, 1]], [[-1, 23]], [[1, 29]], [[1, 13]], [[-1, 29]], [[-1, 7]], [[-1, 29]], [[1, 11]], [[1, 29]], [[-1, 7]], [[1, 19]], [[-1, 13]], [[1, 7]], [[1, 1]], [[1, 19]], [[1, 23]], [[-1, 13]], [[1, 7]]]}
  • id: 402525
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 97, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.b1', 'kernel_order': 4, 'label': '240.82.1w9', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 10]], [[1, 20]], [[1, 15]], [[-1, 15]], [[-1, 15]], [[1, 15]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 18]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 24]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 18]], [[-1, 24]], [[1, 6]], [[-1, 24]], [[-1, 18]], [[1, 12]], [[1, 6]], [[-1, 12]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 5]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[-1, 22]], [[-1, 14]], [[1, 8]], [[1, 16]], [[1, 28]], [[-1, 26]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 21]], [[-1, 9]], [[-1, 27]], [[-1, 21]], [[1, 27]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 21]], [[1, 3]], [[1, 27]], [[1, 9]], [[-1, 27]], [[1, 21]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 26]], [[-1, 4]], [[1, 28]], [[1, 14]], [[-1, 16]], [[1, 2]], [[-1, 26]], [[1, 22]], [[-1, 28]], [[-1, 8]], [[1, 26]], [[-1, 14]], [[-1, 22]], [[1, 16]], [[-1, 4]], [[1, 14]], [[-1, 2]], [[-1, 8]], [[-1, 28]], [[1, 8]], [[-1, 16]], [[1, 22]], [[-1, 14]], [[-1, 2]], [[-1, 22]], [[1, 22]], [[1, 28]], [[-1, 16]], [[1, 2]], [[1, 14]], [[1, 8]], [[1, 16]], [[-1, 26]], [[1, 26]], [[-1, 28]], [[1, 4]], [[-1, 8]], [[-1, 4]], [[1, 17]], [[-1, 1]], [[-1, 7]], [[1, 19]], [[1, 19]], [[1, 1]], [[-1, 7]], [[1, 7]], [[-1, 19]], [[-1, 19]], [[-1, 23]], [[-1, 23]], [[-1, 11]], [[-1, 17]], [[-1, 17]], [[1, 1]], [[1, 13]], [[-1, 11]], [[-1, 13]], [[1, 29]], [[-1, 13]], [[1, 7]], [[1, 13]], [[1, 29]], [[1, 23]], [[1, 11]], [[-1, 29]], [[1, 17]], [[1, 23]], [[-1, 1]], [[1, 11]], [[-1, 29]]]}
  • id: 402385
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 105, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x1', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 18]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 20]], [[-1, 10]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 24]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 18]], [[-1, 24]], [[1, 6]], [[1, 24]], [[1, 18]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[-1, 24]], [[-1, 18]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[-1, 22]], [[-1, 14]], [[1, 8]], [[1, 16]], [[1, 28]], [[-1, 26]], [[1, 4]], [[-1, 2]], [[1, 3]], [[-1, 21]], [[-1, 9]], [[1, 27]], [[1, 21]], [[-1, 27]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 21]], [[1, 3]], [[1, 27]], [[1, 9]], [[-1, 27]], [[1, 21]], [[-1, 3]], [[1, 4]], [[1, 2]], [[1, 26]], [[-1, 4]], [[1, 28]], [[1, 14]], [[-1, 16]], [[1, 2]], [[-1, 26]], [[1, 22]], [[-1, 28]], [[-1, 8]], [[1, 26]], [[-1, 14]], [[-1, 22]], [[1, 16]], [[-1, 4]], [[1, 14]], [[-1, 2]], [[-1, 8]], [[-1, 28]], [[1, 8]], [[-1, 16]], [[1, 22]], [[1, 14]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 28]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[-1, 8]], [[-1, 16]], [[1, 26]], [[-1, 26]], [[1, 28]], [[-1, 4]], [[1, 8]], [[1, 4]], [[-1, 17]], [[-1, 1]], [[1, 7]], [[-1, 19]], [[1, 19]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 19]], [[-1, 19]], [[1, 23]], [[-1, 23]], [[-1, 11]], [[-1, 17]], [[1, 17]], [[1, 1]], [[1, 13]], [[1, 11]], [[-1, 13]], [[-1, 29]], [[1, 13]], [[-1, 7]], [[-1, 13]], [[1, 29]], [[-1, 23]], [[1, 11]], [[1, 29]], [[1, 17]], [[1, 23]], [[1, 1]], [[-1, 11]], [[-1, 29]]]}
  • id: 402395
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 114, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x10', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 20]], [[-1, 10]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 12]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[1, 24]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 24]], [[-1, 12]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 24]], [[-1, 6]], [[-1, 12]], [[1, 18]], [[1, 24]], [[-1, 18]], [[-1, 24]], [[1, 6]], [[1, 12]], [[1, 25]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[1, 8]], [[1, 16]], [[-1, 22]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 26]], [[1, 28]], [[1, 27]], [[-1, 9]], [[-1, 21]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 21]], [[-1, 27]], [[-1, 21]], [[-1, 9]], [[1, 27]], [[1, 3]], [[1, 21]], [[-1, 3]], [[1, 9]], [[-1, 27]], [[-1, 26]], [[-1, 28]], [[-1, 4]], [[1, 26]], [[-1, 2]], [[-1, 16]], [[1, 14]], [[-1, 28]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 22]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 14]], [[1, 26]], [[-1, 16]], [[1, 28]], [[1, 22]], [[1, 2]], [[-1, 22]], [[1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 28]], [[-1, 8]], [[1, 8]], [[1, 2]], [[-1, 14]], [[1, 28]], [[1, 16]], [[1, 22]], [[1, 14]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 26]], [[-1, 22]], [[-1, 26]], [[-1, 13]], [[-1, 29]], [[1, 23]], [[-1, 11]], [[1, 11]], [[-1, 29]], [[-1, 23]], [[1, 23]], [[1, 11]], [[-1, 11]], [[1, 7]], [[-1, 7]], [[-1, 19]], [[-1, 13]], [[1, 13]], [[1, 29]], [[1, 17]], [[1, 19]], [[-1, 17]], [[-1, 1]], [[1, 17]], [[-1, 23]], [[-1, 17]], [[1, 1]], [[-1, 7]], [[1, 19]], [[1, 1]], [[1, 13]], [[1, 7]], [[1, 29]], [[-1, 19]], [[-1, 1]]]}
  • id: 402396
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 115, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x11', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 12]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 24]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 24]], [[-1, 12]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 24]], [[-1, 6]], [[-1, 12]], [[1, 18]], [[1, 24]], [[-1, 18]], [[-1, 24]], [[1, 6]], [[1, 12]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[1, 4]], [[-1, 22]], [[-1, 14]], [[1, 16]], [[1, 8]], [[-1, 27]], [[1, 9]], [[1, 21]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 21]], [[1, 27]], [[1, 21]], [[1, 9]], [[-1, 27]], [[-1, 3]], [[-1, 21]], [[1, 3]], [[-1, 9]], [[1, 27]], [[1, 16]], [[-1, 8]], [[1, 14]], [[-1, 16]], [[-1, 22]], [[1, 26]], [[-1, 4]], [[-1, 8]], [[-1, 14]], [[-1, 28]], [[1, 22]], [[1, 2]], [[1, 14]], [[-1, 26]], [[1, 28]], [[1, 4]], [[-1, 16]], [[1, 26]], [[1, 8]], [[1, 2]], [[1, 22]], [[-1, 2]], [[-1, 4]], [[-1, 28]], [[1, 26]], [[-1, 8]], [[-1, 28]], [[1, 28]], [[1, 22]], [[1, 4]], [[1, 8]], [[-1, 26]], [[1, 2]], [[-1, 4]], [[1, 14]], [[-1, 14]], [[-1, 22]], [[-1, 16]], [[-1, 2]], [[1, 16]], [[-1, 23]], [[-1, 19]], [[1, 13]], [[-1, 1]], [[1, 1]], [[-1, 19]], [[-1, 13]], [[1, 13]], [[1, 1]], [[-1, 1]], [[1, 17]], [[-1, 17]], [[-1, 29]], [[-1, 23]], [[1, 23]], [[1, 19]], [[1, 7]], [[1, 29]], [[-1, 7]], [[-1, 11]], [[1, 7]], [[-1, 13]], [[-1, 7]], [[1, 11]], [[-1, 17]], [[1, 29]], [[1, 11]], [[1, 23]], [[1, 17]], [[1, 19]], [[-1, 29]], [[-1, 11]]]}
  • id: 402397
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 116, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x12', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 20]], [[-1, 10]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 18]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 24]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 18]], [[-1, 24]], [[1, 6]], [[1, 24]], [[1, 18]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[-1, 24]], [[-1, 18]], [[1, 25]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 2]], [[1, 4]], [[1, 28]], [[-1, 26]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 22]], [[1, 3]], [[-1, 21]], [[-1, 9]], [[1, 27]], [[1, 21]], [[-1, 27]], [[1, 9]], [[-1, 3]], [[-1, 9]], [[-1, 21]], [[1, 3]], [[1, 27]], [[1, 9]], [[-1, 27]], [[1, 21]], [[-1, 3]], [[-1, 14]], [[1, 22]], [[-1, 16]], [[1, 14]], [[1, 8]], [[-1, 4]], [[1, 26]], [[1, 22]], [[1, 16]], [[1, 2]], [[-1, 8]], [[-1, 28]], [[-1, 16]], [[1, 4]], [[-1, 2]], [[-1, 26]], [[1, 14]], [[-1, 4]], [[-1, 22]], [[-1, 28]], [[-1, 8]], [[1, 28]], [[1, 26]], [[1, 2]], [[-1, 4]], [[1, 22]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 26]], [[-1, 22]], [[1, 4]], [[-1, 28]], [[1, 26]], [[-1, 16]], [[1, 16]], [[1, 8]], [[1, 14]], [[1, 28]], [[-1, 14]], [[1, 7]], [[1, 11]], [[-1, 17]], [[1, 29]], [[-1, 29]], [[1, 11]], [[1, 17]], [[-1, 17]], [[-1, 29]], [[1, 29]], [[-1, 13]], [[1, 13]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 11]], [[-1, 23]], [[-1, 1]], [[1, 23]], [[1, 19]], [[-1, 23]], [[1, 17]], [[1, 23]], [[-1, 19]], [[1, 13]], [[-1, 1]], [[-1, 19]], [[-1, 7]], [[-1, 13]], [[-1, 11]], [[1, 1]], [[1, 19]]]}
  • id: 402398
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 117, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x13', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 24]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 20]], [[-1, 10]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 12]], [[1, 18]], [[-1, 24]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[1, 18]], [[1, 12]], [[-1, 24]], [[1, 6]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[-1, 12]], [[1, 24]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[1, 28]], [[1, 4]], [[1, 8]], [[-1, 22]], [[-1, 26]], [[1, 9]], [[-1, 3]], [[-1, 27]], [[1, 21]], [[1, 3]], [[-1, 21]], [[1, 27]], [[-1, 9]], [[-1, 27]], [[-1, 3]], [[1, 9]], [[1, 21]], [[1, 27]], [[-1, 21]], [[1, 3]], [[-1, 9]], [[-1, 22]], [[1, 26]], [[-1, 8]], [[1, 22]], [[1, 4]], [[1, 2]], [[-1, 28]], [[1, 26]], [[1, 8]], [[-1, 16]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 2]], [[1, 16]], [[1, 28]], [[1, 22]], [[1, 2]], [[-1, 26]], [[1, 14]], [[-1, 4]], [[-1, 14]], [[-1, 28]], [[-1, 16]], [[1, 2]], [[1, 26]], [[-1, 16]], [[1, 16]], [[-1, 4]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[1, 14]], [[-1, 28]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 22]], [[-1, 14]], [[-1, 22]], [[-1, 11]], [[1, 13]], [[1, 1]], [[1, 7]], [[-1, 7]], [[1, 13]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 7]], [[1, 29]], [[-1, 29]], [[1, 23]], [[-1, 11]], [[1, 11]], [[-1, 13]], [[1, 19]], [[-1, 23]], [[-1, 19]], [[1, 17]], [[1, 19]], [[-1, 1]], [[-1, 19]], [[-1, 17]], [[-1, 29]], [[-1, 23]], [[-1, 17]], [[1, 11]], [[1, 29]], [[-1, 13]], [[1, 23]], [[1, 17]]]}
  • id: 402399
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 118, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x14', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 20]], [[-1, 10]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 6]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 18]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 6]], [[1, 18]], [[-1, 12]], [[-1, 18]], [[1, 6]], [[-1, 24]], [[1, 12]], [[1, 24]], [[-1, 12]], [[1, 18]], [[-1, 6]], [[1, 25]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 14]], [[1, 28]], [[1, 16]], [[-1, 2]], [[-1, 26]], [[-1, 22]], [[1, 8]], [[1, 4]], [[-1, 21]], [[1, 27]], [[1, 3]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[-1, 3]], [[1, 21]], [[1, 3]], [[1, 27]], [[-1, 21]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 27]], [[1, 21]], [[1, 8]], [[-1, 4]], [[1, 22]], [[-1, 8]], [[-1, 26]], [[-1, 28]], [[1, 2]], [[-1, 4]], [[-1, 22]], [[1, 14]], [[1, 26]], [[-1, 16]], [[1, 22]], [[1, 28]], [[-1, 14]], [[-1, 2]], [[-1, 8]], [[-1, 28]], [[1, 4]], [[-1, 16]], [[1, 26]], [[1, 16]], [[1, 2]], [[1, 14]], [[-1, 28]], [[-1, 4]], [[1, 14]], [[-1, 14]], [[1, 26]], [[-1, 2]], [[1, 4]], [[1, 28]], [[-1, 16]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 26]], [[-1, 8]], [[1, 16]], [[1, 8]], [[1, 19]], [[-1, 17]], [[-1, 29]], [[-1, 23]], [[1, 23]], [[-1, 17]], [[1, 29]], [[-1, 29]], [[1, 23]], [[-1, 23]], [[-1, 1]], [[1, 1]], [[-1, 7]], [[1, 19]], [[-1, 19]], [[1, 17]], [[-1, 11]], [[1, 7]], [[1, 11]], [[-1, 13]], [[-1, 11]], [[1, 29]], [[1, 11]], [[1, 13]], [[1, 1]], [[1, 7]], [[1, 13]], [[-1, 19]], [[-1, 1]], [[1, 17]], [[-1, 7]], [[-1, 13]]]}
  • id: 402400
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 119, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x15', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 6]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 18]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 6]], [[1, 18]], [[-1, 12]], [[-1, 18]], [[1, 6]], [[-1, 24]], [[1, 12]], [[1, 24]], [[-1, 12]], [[1, 18]], [[-1, 6]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 4]], [[1, 8]], [[-1, 26]], [[-1, 22]], [[1, 16]], [[-1, 2]], [[1, 28]], [[-1, 14]], [[1, 21]], [[-1, 27]], [[-1, 3]], [[1, 9]], [[1, 27]], [[-1, 9]], [[1, 3]], [[-1, 21]], [[-1, 3]], [[-1, 27]], [[1, 21]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 27]], [[-1, 21]], [[1, 28]], [[1, 14]], [[1, 2]], [[-1, 28]], [[1, 16]], [[-1, 8]], [[1, 22]], [[1, 14]], [[-1, 2]], [[-1, 4]], [[-1, 16]], [[1, 26]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 22]], [[-1, 28]], [[-1, 8]], [[-1, 14]], [[1, 26]], [[-1, 16]], [[-1, 26]], [[1, 22]], [[-1, 4]], [[-1, 8]], [[1, 14]], [[-1, 4]], [[1, 4]], [[-1, 16]], [[-1, 22]], [[-1, 14]], [[1, 8]], [[1, 26]], [[1, 22]], [[1, 2]], [[-1, 2]], [[1, 16]], [[-1, 28]], [[-1, 26]], [[1, 28]], [[1, 29]], [[-1, 7]], [[-1, 19]], [[-1, 13]], [[1, 13]], [[-1, 7]], [[1, 19]], [[-1, 19]], [[1, 13]], [[-1, 13]], [[-1, 11]], [[1, 11]], [[-1, 17]], [[1, 29]], [[-1, 29]], [[1, 7]], [[-1, 1]], [[1, 17]], [[1, 1]], [[-1, 23]], [[-1, 1]], [[1, 19]], [[1, 1]], [[1, 23]], [[1, 11]], [[1, 17]], [[1, 23]], [[-1, 29]], [[-1, 11]], [[1, 7]], [[-1, 17]], [[-1, 23]]]}
  • id: 402402
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 120, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x16', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 20]], [[-1, 10]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 24]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 12]], [[1, 18]], [[-1, 24]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[1, 18]], [[1, 12]], [[-1, 24]], [[1, 6]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[-1, 12]], [[1, 24]], [[1, 25]], [[1, 25]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 25]], [[1, 5]], [[-1, 5]], [[-1, 26]], [[-1, 22]], [[1, 4]], [[1, 8]], [[-1, 14]], [[1, 28]], [[-1, 2]], [[1, 16]], [[-1, 9]], [[1, 3]], [[1, 27]], [[-1, 21]], [[-1, 3]], [[1, 21]], [[-1, 27]], [[1, 9]], [[1, 27]], [[1, 3]], [[-1, 9]], [[-1, 21]], [[-1, 27]], [[1, 21]], [[-1, 3]], [[1, 9]], [[-1, 2]], [[-1, 16]], [[-1, 28]], [[1, 2]], [[-1, 14]], [[1, 22]], [[-1, 8]], [[-1, 16]], [[1, 28]], [[1, 26]], [[1, 14]], [[-1, 4]], [[-1, 28]], [[-1, 22]], [[-1, 26]], [[1, 8]], [[1, 2]], [[1, 22]], [[1, 16]], [[-1, 4]], [[1, 14]], [[1, 4]], [[-1, 8]], [[1, 26]], [[1, 22]], [[-1, 16]], [[1, 26]], [[-1, 26]], [[1, 14]], [[1, 8]], [[1, 16]], [[-1, 22]], [[-1, 4]], [[-1, 8]], [[-1, 28]], [[1, 28]], [[-1, 14]], [[1, 2]], [[1, 4]], [[-1, 2]], [[-1, 1]], [[1, 23]], [[1, 11]], [[1, 17]], [[-1, 17]], [[1, 23]], [[-1, 11]], [[1, 11]], [[-1, 17]], [[1, 17]], [[1, 19]], [[-1, 19]], [[1, 13]], [[-1, 1]], [[1, 1]], [[-1, 23]], [[1, 29]], [[-1, 13]], [[-1, 29]], [[1, 7]], [[1, 29]], [[-1, 11]], [[-1, 29]], [[-1, 7]], [[-1, 19]], [[-1, 13]], [[-1, 7]], [[1, 1]], [[1, 19]], [[-1, 23]], [[1, 13]], [[1, 7]]]}
  • id: 402386
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 106, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x2', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 20]], [[-1, 10]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 12]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[1, 24]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 24]], [[-1, 12]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 24]], [[-1, 6]], [[-1, 12]], [[1, 18]], [[1, 24]], [[-1, 18]], [[-1, 24]], [[1, 6]], [[1, 12]], [[-1, 25]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 5]], [[1, 25]], [[-1, 5]], [[1, 5]], [[1, 8]], [[1, 16]], [[-1, 22]], [[-1, 14]], [[-1, 2]], [[1, 4]], [[-1, 26]], [[1, 28]], [[-1, 27]], [[1, 9]], [[1, 21]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 21]], [[1, 27]], [[1, 21]], [[1, 9]], [[-1, 27]], [[-1, 3]], [[-1, 21]], [[1, 3]], [[-1, 9]], [[1, 27]], [[-1, 26]], [[-1, 28]], [[-1, 4]], [[1, 26]], [[-1, 2]], [[-1, 16]], [[1, 14]], [[-1, 28]], [[1, 4]], [[-1, 8]], [[1, 2]], [[1, 22]], [[-1, 4]], [[1, 16]], [[1, 8]], [[-1, 14]], [[1, 26]], [[-1, 16]], [[1, 28]], [[1, 22]], [[1, 2]], [[-1, 22]], [[1, 14]], [[-1, 8]], [[-1, 16]], [[-1, 28]], [[-1, 8]], [[1, 8]], [[1, 2]], [[-1, 14]], [[1, 28]], [[1, 16]], [[1, 22]], [[1, 14]], [[-1, 4]], [[1, 4]], [[-1, 2]], [[1, 26]], [[-1, 22]], [[-1, 26]], [[1, 13]], [[1, 29]], [[-1, 23]], [[1, 11]], [[-1, 11]], [[1, 29]], [[1, 23]], [[-1, 23]], [[-1, 11]], [[1, 11]], [[-1, 7]], [[1, 7]], [[1, 19]], [[1, 13]], [[-1, 13]], [[-1, 29]], [[-1, 17]], [[-1, 19]], [[1, 17]], [[1, 1]], [[-1, 17]], [[1, 23]], [[1, 17]], [[-1, 1]], [[1, 7]], [[-1, 19]], [[-1, 1]], [[-1, 13]], [[-1, 7]], [[-1, 29]], [[1, 19]], [[1, 1]]]}
  • id: 402387
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 107, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x3', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[1, 24]], [[-1, 6]], [[-1, 18]], [[1, 12]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 24]], [[1, 18]], [[1, 18]], [[-1, 6]], [[-1, 24]], [[-1, 12]], [[1, 12]], [[-1, 18]], [[1, 6]], [[-1, 12]], [[1, 6]], [[-1, 24]], [[-1, 6]], [[-1, 12]], [[1, 18]], [[1, 24]], [[-1, 18]], [[-1, 24]], [[1, 6]], [[1, 12]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[1, 4]], [[-1, 22]], [[-1, 14]], [[1, 16]], [[1, 8]], [[1, 27]], [[-1, 9]], [[-1, 21]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 21]], [[-1, 27]], [[-1, 21]], [[-1, 9]], [[1, 27]], [[1, 3]], [[1, 21]], [[-1, 3]], [[1, 9]], [[-1, 27]], [[1, 16]], [[-1, 8]], [[1, 14]], [[-1, 16]], [[-1, 22]], [[1, 26]], [[-1, 4]], [[-1, 8]], [[-1, 14]], [[-1, 28]], [[1, 22]], [[1, 2]], [[1, 14]], [[-1, 26]], [[1, 28]], [[1, 4]], [[-1, 16]], [[1, 26]], [[1, 8]], [[1, 2]], [[1, 22]], [[-1, 2]], [[-1, 4]], [[-1, 28]], [[1, 26]], [[-1, 8]], [[-1, 28]], [[1, 28]], [[1, 22]], [[1, 4]], [[1, 8]], [[-1, 26]], [[1, 2]], [[-1, 4]], [[1, 14]], [[-1, 14]], [[-1, 22]], [[-1, 16]], [[-1, 2]], [[1, 16]], [[1, 23]], [[1, 19]], [[-1, 13]], [[1, 1]], [[-1, 1]], [[1, 19]], [[1, 13]], [[-1, 13]], [[-1, 1]], [[1, 1]], [[-1, 17]], [[1, 17]], [[1, 29]], [[1, 23]], [[-1, 23]], [[-1, 19]], [[-1, 7]], [[-1, 29]], [[1, 7]], [[1, 11]], [[-1, 7]], [[1, 13]], [[1, 7]], [[-1, 11]], [[1, 17]], [[-1, 29]], [[-1, 11]], [[-1, 23]], [[-1, 17]], [[-1, 19]], [[1, 29]], [[1, 11]]]}
  • id: 402388
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 108, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x4', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 20]], [[-1, 10]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 18]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 24]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 18]], [[-1, 24]], [[1, 6]], [[1, 24]], [[1, 18]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[-1, 24]], [[-1, 18]], [[-1, 25]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 5]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 2]], [[1, 4]], [[1, 28]], [[-1, 26]], [[1, 8]], [[1, 16]], [[-1, 14]], [[-1, 22]], [[-1, 3]], [[1, 21]], [[1, 9]], [[-1, 27]], [[-1, 21]], [[1, 27]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 21]], [[-1, 3]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[-1, 21]], [[1, 3]], [[-1, 14]], [[1, 22]], [[-1, 16]], [[1, 14]], [[1, 8]], [[-1, 4]], [[1, 26]], [[1, 22]], [[1, 16]], [[1, 2]], [[-1, 8]], [[-1, 28]], [[-1, 16]], [[1, 4]], [[-1, 2]], [[-1, 26]], [[1, 14]], [[-1, 4]], [[-1, 22]], [[-1, 28]], [[-1, 8]], [[1, 28]], [[1, 26]], [[1, 2]], [[-1, 4]], [[1, 22]], [[1, 2]], [[-1, 2]], [[-1, 8]], [[-1, 26]], [[-1, 22]], [[1, 4]], [[-1, 28]], [[1, 26]], [[-1, 16]], [[1, 16]], [[1, 8]], [[1, 14]], [[1, 28]], [[-1, 14]], [[-1, 7]], [[-1, 11]], [[1, 17]], [[-1, 29]], [[1, 29]], [[-1, 11]], [[-1, 17]], [[1, 17]], [[1, 29]], [[-1, 29]], [[1, 13]], [[-1, 13]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[1, 11]], [[1, 23]], [[1, 1]], [[-1, 23]], [[-1, 19]], [[1, 23]], [[-1, 17]], [[-1, 23]], [[1, 19]], [[-1, 13]], [[1, 1]], [[1, 19]], [[1, 7]], [[1, 13]], [[1, 11]], [[-1, 1]], [[-1, 19]]]}
  • id: 402389
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 109, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x5', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 24]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 20]], [[-1, 10]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 12]], [[1, 18]], [[-1, 24]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[1, 18]], [[1, 12]], [[-1, 24]], [[1, 6]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[-1, 12]], [[1, 24]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[1, 28]], [[1, 4]], [[1, 8]], [[-1, 22]], [[-1, 26]], [[-1, 9]], [[1, 3]], [[1, 27]], [[-1, 21]], [[-1, 3]], [[1, 21]], [[-1, 27]], [[1, 9]], [[1, 27]], [[1, 3]], [[-1, 9]], [[-1, 21]], [[-1, 27]], [[1, 21]], [[-1, 3]], [[1, 9]], [[-1, 22]], [[1, 26]], [[-1, 8]], [[1, 22]], [[1, 4]], [[1, 2]], [[-1, 28]], [[1, 26]], [[1, 8]], [[-1, 16]], [[-1, 4]], [[1, 14]], [[-1, 8]], [[-1, 2]], [[1, 16]], [[1, 28]], [[1, 22]], [[1, 2]], [[-1, 26]], [[1, 14]], [[-1, 4]], [[-1, 14]], [[-1, 28]], [[-1, 16]], [[1, 2]], [[1, 26]], [[-1, 16]], [[1, 16]], [[-1, 4]], [[1, 28]], [[-1, 26]], [[-1, 2]], [[1, 14]], [[-1, 28]], [[-1, 8]], [[1, 8]], [[1, 4]], [[1, 22]], [[-1, 14]], [[-1, 22]], [[1, 11]], [[-1, 13]], [[-1, 1]], [[-1, 7]], [[1, 7]], [[-1, 13]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 7]], [[-1, 29]], [[1, 29]], [[-1, 23]], [[1, 11]], [[-1, 11]], [[1, 13]], [[-1, 19]], [[1, 23]], [[1, 19]], [[-1, 17]], [[-1, 19]], [[1, 1]], [[1, 19]], [[1, 17]], [[1, 29]], [[1, 23]], [[1, 17]], [[-1, 11]], [[-1, 29]], [[1, 13]], [[-1, 23]], [[-1, 17]]]}
  • id: 402391
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 110, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x6', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 20]], [[-1, 10]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 6]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 18]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 6]], [[1, 18]], [[-1, 12]], [[-1, 18]], [[1, 6]], [[-1, 24]], [[1, 12]], [[1, 24]], [[-1, 12]], [[1, 18]], [[-1, 6]], [[-1, 25]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 5]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 14]], [[1, 28]], [[1, 16]], [[-1, 2]], [[-1, 26]], [[-1, 22]], [[1, 8]], [[1, 4]], [[1, 21]], [[-1, 27]], [[-1, 3]], [[1, 9]], [[1, 27]], [[-1, 9]], [[1, 3]], [[-1, 21]], [[-1, 3]], [[-1, 27]], [[1, 21]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 27]], [[-1, 21]], [[1, 8]], [[-1, 4]], [[1, 22]], [[-1, 8]], [[-1, 26]], [[-1, 28]], [[1, 2]], [[-1, 4]], [[-1, 22]], [[1, 14]], [[1, 26]], [[-1, 16]], [[1, 22]], [[1, 28]], [[-1, 14]], [[-1, 2]], [[-1, 8]], [[-1, 28]], [[1, 4]], [[-1, 16]], [[1, 26]], [[1, 16]], [[1, 2]], [[1, 14]], [[-1, 28]], [[-1, 4]], [[1, 14]], [[-1, 14]], [[1, 26]], [[-1, 2]], [[1, 4]], [[1, 28]], [[-1, 16]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 26]], [[-1, 8]], [[1, 16]], [[1, 8]], [[-1, 19]], [[1, 17]], [[1, 29]], [[1, 23]], [[-1, 23]], [[1, 17]], [[-1, 29]], [[1, 29]], [[-1, 23]], [[1, 23]], [[1, 1]], [[-1, 1]], [[1, 7]], [[-1, 19]], [[1, 19]], [[-1, 17]], [[1, 11]], [[-1, 7]], [[-1, 11]], [[1, 13]], [[1, 11]], [[-1, 29]], [[-1, 11]], [[-1, 13]], [[-1, 1]], [[-1, 7]], [[-1, 13]], [[1, 19]], [[1, 1]], [[-1, 17]], [[1, 7]], [[1, 13]]]}
  • id: 402392
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 111, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x7', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[1, 15]], [[1, 12]], [[-1, 18]], [[1, 24]], [[-1, 6]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 20]], [[-1, 10]], [[1, 12]], [[-1, 24]], [[-1, 24]], [[-1, 18]], [[-1, 12]], [[1, 6]], [[-1, 6]], [[1, 24]], [[1, 18]], [[1, 6]], [[1, 18]], [[-1, 12]], [[-1, 18]], [[1, 6]], [[-1, 24]], [[1, 12]], [[1, 24]], [[-1, 12]], [[1, 18]], [[-1, 6]], [[1, 5]], [[1, 5]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[-1, 5]], [[1, 25]], [[-1, 25]], [[1, 4]], [[1, 8]], [[-1, 26]], [[-1, 22]], [[1, 16]], [[-1, 2]], [[1, 28]], [[-1, 14]], [[-1, 21]], [[1, 27]], [[1, 3]], [[-1, 9]], [[-1, 27]], [[1, 9]], [[-1, 3]], [[1, 21]], [[1, 3]], [[1, 27]], [[-1, 21]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 27]], [[1, 21]], [[1, 28]], [[1, 14]], [[1, 2]], [[-1, 28]], [[1, 16]], [[-1, 8]], [[1, 22]], [[1, 14]], [[-1, 2]], [[-1, 4]], [[-1, 16]], [[1, 26]], [[1, 2]], [[1, 8]], [[1, 4]], [[-1, 22]], [[-1, 28]], [[-1, 8]], [[-1, 14]], [[1, 26]], [[-1, 16]], [[-1, 26]], [[1, 22]], [[-1, 4]], [[-1, 8]], [[1, 14]], [[-1, 4]], [[1, 4]], [[-1, 16]], [[-1, 22]], [[-1, 14]], [[1, 8]], [[1, 26]], [[1, 22]], [[1, 2]], [[-1, 2]], [[1, 16]], [[-1, 28]], [[-1, 26]], [[1, 28]], [[-1, 29]], [[1, 7]], [[1, 19]], [[1, 13]], [[-1, 13]], [[1, 7]], [[-1, 19]], [[1, 19]], [[-1, 13]], [[1, 13]], [[1, 11]], [[-1, 11]], [[1, 17]], [[-1, 29]], [[1, 29]], [[-1, 7]], [[1, 1]], [[-1, 17]], [[-1, 1]], [[1, 23]], [[1, 1]], [[-1, 19]], [[-1, 1]], [[-1, 23]], [[-1, 11]], [[-1, 17]], [[-1, 23]], [[1, 29]], [[1, 11]], [[-1, 7]], [[1, 17]], [[1, 23]]]}
  • id: 402393
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 112, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x8', 'nt': [60, 16], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 20]], [[-1, 10]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[-1, 18]], [[1, 12]], [[-1, 6]], [[1, 24]], [[1, 10]], [[-1, 20]], [[-1, 20]], [[-1, 10]], [[1, 10]], [[1, 20]], [[1, 10]], [[-1, 20]], [[-1, 10]], [[1, 20]], [[-1, 18]], [[1, 6]], [[1, 6]], [[1, 12]], [[1, 18]], [[-1, 24]], [[1, 24]], [[-1, 6]], [[-1, 12]], [[-1, 24]], [[-1, 12]], [[1, 18]], [[1, 12]], [[-1, 24]], [[1, 6]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[-1, 12]], [[1, 24]], [[-1, 25]], [[-1, 25]], [[1, 25]], [[-1, 5]], [[1, 5]], [[1, 25]], [[-1, 5]], [[1, 5]], [[-1, 26]], [[-1, 22]], [[1, 4]], [[1, 8]], [[-1, 14]], [[1, 28]], [[-1, 2]], [[1, 16]], [[1, 9]], [[-1, 3]], [[-1, 27]], [[1, 21]], [[1, 3]], [[-1, 21]], [[1, 27]], [[-1, 9]], [[-1, 27]], [[-1, 3]], [[1, 9]], [[1, 21]], [[1, 27]], [[-1, 21]], [[1, 3]], [[-1, 9]], [[-1, 2]], [[-1, 16]], [[-1, 28]], [[1, 2]], [[-1, 14]], [[1, 22]], [[-1, 8]], [[-1, 16]], [[1, 28]], [[1, 26]], [[1, 14]], [[-1, 4]], [[-1, 28]], [[-1, 22]], [[-1, 26]], [[1, 8]], [[1, 2]], [[1, 22]], [[1, 16]], [[-1, 4]], [[1, 14]], [[1, 4]], [[-1, 8]], [[1, 26]], [[1, 22]], [[-1, 16]], [[1, 26]], [[-1, 26]], [[1, 14]], [[1, 8]], [[1, 16]], [[-1, 22]], [[-1, 4]], [[-1, 8]], [[-1, 28]], [[1, 28]], [[-1, 14]], [[1, 2]], [[1, 4]], [[-1, 2]], [[1, 1]], [[-1, 23]], [[-1, 11]], [[-1, 17]], [[1, 17]], [[-1, 23]], [[1, 11]], [[-1, 11]], [[1, 17]], [[-1, 17]], [[-1, 19]], [[1, 19]], [[-1, 13]], [[1, 1]], [[-1, 1]], [[1, 23]], [[-1, 29]], [[1, 13]], [[1, 29]], [[-1, 7]], [[-1, 29]], [[1, 11]], [[1, 29]], [[1, 7]], [[1, 19]], [[1, 13]], [[1, 7]], [[-1, 1]], [[-1, 19]], [[1, 23]], [[-1, 13]], [[-1, 7]]]}
  • id: 402394
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 240, 'counter': 113, 'cyclotomic_n': 60, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '60.4', 'image_order': 60, 'indicator': 0, 'kernel': '60.b1.a1', 'kernel_order': 4, 'label': '240.82.1x9', 'nt': [60, 0], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 10]], [[1, 20]], [[1, 15]], [[-1, 15]], [[1, 15]], [[-1, 15]], [[-1, 6]], [[1, 24]], [[1, 12]], [[-1, 18]], [[-1, 20]], [[1, 10]], [[1, 10]], [[1, 20]], [[-1, 20]], [[-1, 10]], [[-1, 20]], [[1, 10]], [[1, 20]], [[-1, 10]], [[-1, 6]], [[-1, 12]], [[-1, 12]], [[1, 24]], [[1, 6]], [[1, 18]], [[-1, 18]], [[1, 12]], [[-1, 24]], [[1, 18]], [[-1, 24]], [[1, 6]], [[1, 24]], [[1, 18]], [[-1, 12]], [[-1, 6]], [[1, 12]], [[1, 6]], [[-1, 24]], [[-1, 18]], [[-1, 5]], [[-1, 5]], [[1, 5]], [[-1, 25]], [[1, 25]], [[1, 5]], [[-1, 25]], [[1, 25]], [[-1, 22]], [[-1, 14]], [[1, 8]], [[1, 16]], [[1, 28]], [[-1, 26]], [[1, 4]], [[-1, 2]], [[-1, 3]], [[1, 21]], [[1, 9]], [[-1, 27]], [[-1, 21]], [[1, 27]], [[-1, 9]], [[1, 3]], [[1, 9]], [[1, 21]], [[-1, 3]], [[-1, 27]], [[-1, 9]], [[1, 27]], [[-1, 21]], [[1, 3]], [[1, 4]], [[1, 2]], [[1, 26]], [[-1, 4]], [[1, 28]], [[1, 14]], [[-1, 16]], [[1, 2]], [[-1, 26]], [[1, 22]], [[-1, 28]], [[-1, 8]], [[1, 26]], [[-1, 14]], [[-1, 22]], [[1, 16]], [[-1, 4]], [[1, 14]], [[-1, 2]], [[-1, 8]], [[-1, 28]], [[1, 8]], [[-1, 16]], [[1, 22]], [[1, 14]], [[1, 2]], [[1, 22]], [[-1, 22]], [[-1, 28]], [[1, 16]], [[-1, 2]], [[-1, 14]], [[-1, 8]], [[-1, 16]], [[1, 26]], [[-1, 26]], [[1, 28]], [[-1, 4]], [[1, 8]], [[1, 4]], [[1, 17]], [[1, 1]], [[-1, 7]], [[1, 19]], [[-1, 19]], [[1, 1]], [[1, 7]], [[-1, 7]], [[-1, 19]], [[1, 19]], [[-1, 23]], [[1, 23]], [[1, 11]], [[1, 17]], [[-1, 17]], [[-1, 1]], [[-1, 13]], [[-1, 11]], [[1, 13]], [[1, 29]], [[-1, 13]], [[1, 7]], [[1, 13]], [[-1, 29]], [[1, 23]], [[-1, 11]], [[-1, 29]], [[-1, 17]], [[-1, 23]], [[-1, 1]], [[1, 11]], [[1, 29]]]}
  • id: 402403
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 121, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.b1', 'kernel_order': 30, 'label': '240.82.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402404
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 122, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 30, 'label': '240.82.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402405
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 123, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.82.2c1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402406
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 124, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.b1', 'kernel_order': 10, 'label': '240.82.2c2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402407
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 125, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.82.2d1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402408
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 126, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 10, 'label': '240.82.2d2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402409
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 127, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 6, 'label': '240.82.2e1', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[2, 1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[2, 2]], [[2, -1]], [[-2, 2]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 1]], [[2, -2]], [[2, 2]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, -2]], [[2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[2, 2]], [[-2, 1]], [[2, -1]], [[2, -1]], [[-2, -1]], [[2, -2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402410
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 128, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 6, 'label': '240.82.2e2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, -1]], [[-2, -1]], [[-2, -2]], [[-2, 2]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[2, -2]], [[2, 1]], [[-2, -2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[2, -1]], [[2, 2]], [[2, -2]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, 2]], [[2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[2, -2]], [[-2, -1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402411
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 129, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 6, 'label': '240.82.2e3', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, -2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 2]], [[-2, -2]], [[2, 1]], [[2, 2]], [[-2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, -2]], [[2, -1]], [[2, 1]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, -1]], [[2, -2]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[2, 1]], [[-2, -2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, -1]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402413
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 130, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.b1', 'kernel_order': 6, 'label': '240.82.2e4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 2]], [[-2, 2]], [[-2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -2]], [[-2, 2]], [[2, -1]], [[2, -2]], [[-2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, 2]], [[2, 1]], [[2, -1]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, 1]], [[2, 2]], [[-2, -2]], [[-2, -2]], [[-2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[2, -1]], [[-2, 2]], [[2, -2]], [[2, -2]], [[-2, -2]], [[2, 1]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402414
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 131, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 6, 'label': '240.82.2f1', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 2]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, 1]], [[2, 1]], [[-2, 2]], [[2, -2]], [[2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -1]], [[2, 2]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[2, 2]], [[2, -2]], [[2, 1]], [[-2, -2]], [[-2, 1]], [[2, -1]], [[2, -1]], [[2, -2]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[2, 2]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -1]], [[-2, -1]], [[-2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402415
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 132, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 6, 'label': '240.82.2f2', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -2]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, -1]], [[2, -1]], [[-2, -2]], [[2, 2]], [[2, 1]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 1]], [[2, -2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[2, -2]], [[2, 2]], [[2, -1]], [[-2, 2]], [[-2, -1]], [[2, 1]], [[2, 1]], [[2, 2]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[2, -2]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402416
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 133, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 6, 'label': '240.82.2f3', 'nt': [20, 12], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -2]], [[2, 2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, -2]], [[2, -2]], [[-2, 1]], [[2, -1]], [[2, 2]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[-2, 2]], [[2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, 2]], [[2, -1]], [[2, 1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[-2, -1]], [[-2, -2]], [[2, 2]], [[2, 2]], [[2, -1]], [[-2, 1]], [[-2, -2]], [[-2, -1]], [[2, 1]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[-2, -1]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402417
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 134, 'cyclotomic_n': 5, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '40.10', 'image_order': 40, 'indicator': 0, 'kernel': '40.b1.a1', 'kernel_order': 6, 'label': '240.82.2f4', 'nt': [20, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 2]], [[2, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 2]], [[2, 2]], [[-2, -1]], [[2, 1]], [[2, -2]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[-2, -2]], [[2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, -2]], [[2, 1]], [[2, -1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[-2, 1]], [[-2, 2]], [[2, -2]], [[2, -2]], [[2, 1]], [[-2, -1]], [[-2, 2]], [[-2, 1]], [[2, -1]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, -2]], [[-2, -2]], [[-2, 1]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402418
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 135, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.82.2g1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[-2, 5]], [[-2, -5]], [[2, -5]], [[-2, 5]], [[2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -6]], [[2, 3]], [[-2, 3]], [[-2, 6]], [[-2, -6]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 6]], [[2, -3]], [[-2, 6]], [[2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -4]], [[2, 2]], [[2, 4]], [[2, 7]], [[2, -1]], [[2, 1]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, -7]], [[2, -1]], [[2, 1]], [[-2, 7]], [[-2, -4]], [[-2, 4]], [[-2, -7]], [[-2, -1]], [[2, -2]], [[-2, 7]], [[-2, 2]], [[-2, -1]], [[-2, -4]], [[-2, -2]], [[-2, 4]], [[-2, 1]], [[2, -4]], [[-2, -7]], [[2, 2]], [[2, 7]], [[-2, 2]], [[2, 4]], [[-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402419
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 136, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.82.2g2', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-2, -5]], [[-2, 5]], [[2, 5]], [[-2, -5]], [[2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, -3]], [[-2, -3]], [[-2, -6]], [[-2, 6]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -6]], [[2, 3]], [[-2, -6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 4]], [[2, -2]], [[2, -4]], [[2, -7]], [[2, 1]], [[2, -1]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[2, 7]], [[2, 1]], [[2, -1]], [[-2, -7]], [[-2, 4]], [[-2, -4]], [[-2, 7]], [[-2, 1]], [[2, 2]], [[-2, -7]], [[-2, -2]], [[-2, 1]], [[-2, 4]], [[-2, 2]], [[-2, -4]], [[-2, -1]], [[2, 4]], [[-2, 7]], [[2, -2]], [[2, -7]], [[-2, -2]], [[2, -4]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402420
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 137, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.82.2g3', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[-2, 5]], [[-2, -5]], [[2, -5]], [[-2, 5]], [[2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, -3]], [[-2, -3]], [[-2, -6]], [[-2, 6]], [[-2, 3]], [[-2, 3]], [[-2, -3]], [[2, -6]], [[2, 3]], [[-2, -6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -1]], [[2, -7]], [[2, 1]], [[2, -2]], [[2, -4]], [[2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[2, 2]], [[2, -4]], [[2, 4]], [[-2, -2]], [[-2, -1]], [[-2, 1]], [[-2, 2]], [[-2, -4]], [[2, 7]], [[-2, -2]], [[-2, -7]], [[-2, -4]], [[-2, -1]], [[-2, 7]], [[-2, 1]], [[-2, 4]], [[2, -1]], [[-2, 2]], [[2, -7]], [[2, -2]], [[-2, -7]], [[2, 1]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402421
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 138, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.82.2g4', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[-2, -5]], [[-2, 5]], [[2, 5]], [[-2, -5]], [[2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -6]], [[2, 3]], [[-2, 3]], [[-2, 6]], [[-2, -6]], [[-2, -3]], [[-2, -3]], [[-2, 3]], [[2, 6]], [[2, -3]], [[-2, 6]], [[2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 1]], [[2, 7]], [[2, -1]], [[2, 2]], [[2, 4]], [[2, -4]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -4]], [[2, -2]], [[2, 4]], [[2, -4]], [[-2, 2]], [[-2, 1]], [[-2, -1]], [[-2, -2]], [[-2, 4]], [[2, -7]], [[-2, 2]], [[-2, 7]], [[-2, 4]], [[-2, 1]], [[-2, -7]], [[-2, -1]], [[-2, -4]], [[2, 1]], [[-2, -2]], [[2, 7]], [[2, 2]], [[-2, 7]], [[2, -1]], [[-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402422
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 139, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.82.2g5', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-2, 5]], [[-2, -5]], [[2, -5]], [[-2, 5]], [[2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[2, -6]], [[-2, -6]], [[-2, 3]], [[-2, -3]], [[-2, 6]], [[-2, 6]], [[-2, -6]], [[2, 3]], [[2, 6]], [[-2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -7]], [[2, -4]], [[2, 7]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[2, -1]], [[2, 2]], [[2, -2]], [[-2, 1]], [[-2, -7]], [[-2, 7]], [[-2, -1]], [[-2, 2]], [[2, 4]], [[-2, 1]], [[-2, -4]], [[-2, 2]], [[-2, -7]], [[-2, 4]], [[-2, 7]], [[-2, -2]], [[2, -7]], [[-2, -1]], [[2, -4]], [[2, 1]], [[-2, -4]], [[2, 7]], [[-2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402424
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 140, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.82.2g6', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-2, -5]], [[-2, 5]], [[2, 5]], [[-2, -5]], [[2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 6]], [[-2, 6]], [[-2, -3]], [[-2, 3]], [[-2, -6]], [[-2, -6]], [[-2, 6]], [[2, -3]], [[2, -6]], [[-2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 7]], [[2, 4]], [[2, -7]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 1]], [[2, -2]], [[2, 2]], [[-2, -1]], [[-2, 7]], [[-2, -7]], [[-2, 1]], [[-2, -2]], [[2, -4]], [[-2, -1]], [[-2, 4]], [[-2, -2]], [[-2, 7]], [[-2, -4]], [[-2, -7]], [[-2, 2]], [[2, 7]], [[-2, 1]], [[2, 4]], [[2, -1]], [[-2, 4]], [[2, -7]], [[-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402425
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 141, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.82.2g7', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[-2, 5]], [[-2, -5]], [[2, -5]], [[-2, 5]], [[2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 6]], [[-2, 6]], [[-2, -3]], [[-2, 3]], [[-2, -6]], [[-2, -6]], [[-2, 6]], [[2, -3]], [[2, -6]], [[-2, -3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 4]], [[2, -7]], [[2, 7]], [[2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[2, -4]], [[2, -7]], [[2, 7]], [[-2, 4]], [[-2, 2]], [[-2, -2]], [[-2, -4]], [[-2, -7]], [[2, 1]], [[-2, 4]], [[-2, -1]], [[-2, -7]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[-2, 7]], [[2, 2]], [[-2, -4]], [[2, -1]], [[2, 4]], [[-2, -1]], [[2, -2]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402426
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 142, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.b1', 'kernel_order': 2, 'label': '240.82.2g8', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[-2, -5]], [[-2, 5]], [[2, 5]], [[-2, -5]], [[2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[2, -6]], [[-2, -6]], [[-2, 3]], [[-2, -3]], [[-2, 6]], [[-2, 6]], [[-2, -6]], [[2, 3]], [[2, 6]], [[-2, 3]], [[2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -4]], [[2, 7]], [[2, -7]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -7]], [[2, 4]], [[2, 7]], [[2, -7]], [[-2, -4]], [[-2, -2]], [[-2, 2]], [[-2, 4]], [[-2, 7]], [[2, -1]], [[-2, -4]], [[-2, 1]], [[-2, 7]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-2, -7]], [[2, -2]], [[-2, 4]], [[2, 1]], [[2, -4]], [[-2, 1]], [[2, 2]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402427
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 143, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.82.2h1', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -6]], [[-2, 3]], [[2, 3]], [[-2, 6]], [[2, -6]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 6]], [[-2, -3]], [[2, 6]], [[-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -2]], [[2, -4]], [[2, 2]], [[2, 4]], [[2, 7]], [[2, -1]], [[2, 1]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -7]], [[-2, -1]], [[-2, 1]], [[-2, 7]], [[2, -4]], [[2, 4]], [[2, -7]], [[-2, -1]], [[-2, -2]], [[2, 7]], [[2, 2]], [[2, -1]], [[-2, -4]], [[-2, -2]], [[-2, 4]], [[2, 1]], [[-2, -4]], [[-2, -7]], [[-2, 2]], [[-2, 7]], [[-2, 2]], [[-2, 4]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402428
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 144, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.82.2h2', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, -3]], [[2, -3]], [[-2, -6]], [[2, 6]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -6]], [[-2, 3]], [[2, -6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[2, 4]], [[2, -2]], [[2, -4]], [[2, -7]], [[2, 1]], [[2, -1]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 7]], [[-2, 1]], [[-2, -1]], [[-2, -7]], [[2, 4]], [[2, -4]], [[2, 7]], [[-2, 1]], [[-2, 2]], [[2, -7]], [[2, -2]], [[2, 1]], [[-2, 4]], [[-2, 2]], [[-2, -4]], [[2, -1]], [[-2, 4]], [[-2, 7]], [[-2, -2]], [[-2, -7]], [[-2, -2]], [[-2, -4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402429
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 145, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.82.2h3', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, -6]], [[2, -3]], [[2, 3]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, -3]], [[2, -3]], [[-2, -6]], [[2, 6]], [[2, 3]], [[-2, 3]], [[-2, -3]], [[-2, -6]], [[-2, 3]], [[2, -6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, -1]], [[2, -7]], [[2, 1]], [[2, -2]], [[2, -4]], [[2, 4]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4]], [[-2, 2]], [[-2, -4]], [[-2, 4]], [[-2, -2]], [[2, -1]], [[2, 1]], [[2, 2]], [[-2, -4]], [[-2, 7]], [[2, -2]], [[2, -7]], [[2, -4]], [[-2, -1]], [[-2, 7]], [[-2, 1]], [[2, 4]], [[-2, -1]], [[-2, 2]], [[-2, -7]], [[-2, -2]], [[-2, -7]], [[-2, 1]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402430
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 146, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.82.2h4', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -6]], [[2, 6]], [[2, 3]], [[2, -3]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -6]], [[-2, 3]], [[2, 3]], [[-2, 6]], [[2, -6]], [[2, -3]], [[-2, -3]], [[-2, 3]], [[-2, 6]], [[-2, -3]], [[2, 6]], [[-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -7]], [[2, 1]], [[2, 7]], [[2, -1]], [[2, 2]], [[2, 4]], [[2, -4]], [[2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -4]], [[-2, -2]], [[-2, 4]], [[-2, -4]], [[-2, 2]], [[2, 1]], [[2, -1]], [[2, -2]], [[-2, 4]], [[-2, -7]], [[2, 2]], [[2, 7]], [[2, 4]], [[-2, 1]], [[-2, -7]], [[-2, -1]], [[2, -4]], [[-2, 1]], [[-2, -2]], [[-2, 7]], [[-2, 2]], [[-2, 7]], [[-2, -1]], [[2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402431
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 147, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.82.2h5', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, -6]], [[2, -6]], [[-2, 3]], [[2, -3]], [[2, 6]], [[-2, 6]], [[-2, -6]], [[-2, 3]], [[-2, 6]], [[2, 3]], [[-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4]], [[2, -7]], [[2, -4]], [[2, 7]], [[2, 1]], [[2, 2]], [[2, -2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[-2, -2]], [[-2, 1]], [[2, -7]], [[2, 7]], [[2, -1]], [[-2, 2]], [[-2, 4]], [[2, 1]], [[2, -4]], [[2, 2]], [[-2, -7]], [[-2, 4]], [[-2, 7]], [[2, -2]], [[-2, -7]], [[-2, -1]], [[-2, -4]], [[-2, 1]], [[-2, -4]], [[-2, 7]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402432
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 148, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.82.2h6', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 6]], [[2, 6]], [[-2, -3]], [[2, 3]], [[2, -6]], [[-2, -6]], [[-2, 6]], [[-2, -3]], [[-2, -6]], [[2, -3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -4]], [[2, 7]], [[2, 4]], [[2, -7]], [[2, -1]], [[2, -2]], [[2, 2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[-2, 2]], [[-2, -1]], [[2, 7]], [[2, -7]], [[2, 1]], [[-2, -2]], [[-2, -4]], [[2, -1]], [[2, 4]], [[2, -2]], [[-2, 7]], [[-2, -4]], [[-2, -7]], [[2, 2]], [[-2, 7]], [[-2, 1]], [[-2, 4]], [[-2, -1]], [[-2, 4]], [[-2, -7]], [[2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402433
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 149, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.82.2h7', 'nt': [60, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, -5]], [[2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, -3]], [[2, 6]], [[2, -6]], [[2, 5]], [[2, -5]], [[-2, -5]], [[-2, 5]], [[-2, 5]], [[-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 6]], [[2, 6]], [[-2, -3]], [[2, 3]], [[2, -6]], [[-2, -6]], [[-2, 6]], [[-2, -3]], [[-2, -6]], [[2, -3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 2]], [[2, -1]], [[2, -2]], [[2, 4]], [[2, -7]], [[2, 7]], [[2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, -4]], [[-2, -7]], [[-2, 7]], [[-2, 4]], [[2, 2]], [[2, -2]], [[2, -4]], [[-2, -7]], [[-2, 1]], [[2, 4]], [[2, -1]], [[2, -7]], [[-2, 2]], [[-2, 1]], [[-2, -2]], [[2, 7]], [[-2, 2]], [[-2, -4]], [[-2, -1]], [[-2, 4]], [[-2, -1]], [[-2, -2]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 402435
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 60, 'counter': 150, 'cyclotomic_n': 15, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '240.82', 'group_counter': 82, 'group_order': 240, 'image': None, 'image_isoclass': '120.32', 'image_order': 120, 'indicator': 0, 'kernel': '120.b1.a1', 'kernel_order': 2, 'label': '240.82.2h8', 'nt': [60, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 5]], [[2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -3]], [[2, 3]], [[2, -6]], [[2, 6]], [[2, -5]], [[2, 5]], [[-2, 5]], [[-2, -5]], [[-2, -5]], [[-2, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -3]], [[-2, -6]], [[2, -6]], [[-2, 3]], [[2, -3]], [[2, 6]], [[-2, 6]], [[-2, -6]], [[-2, 3]], [[-2, 6]], [[2, 3]], [[-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, -2]], [[2, 1]], [[2, 2]], [[2, -4]], [[2, 7]], [[2, -7]], [[2, 4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -7]], [[-2, 4]], [[-2, 7]], [[-2, -7]], [[-2, -4]], [[2, -2]], [[2, 2]], [[2, 4]], [[-2, 7]], [[-2, -1]], [[2, -4]], [[2, 1]], [[2, 7]], [[-2, -2]], [[-2, -1]], [[-2, 2]], [[2, -7]], [[-2, -2]], [[-2, 4]], [[-2, 1]], [[-2, -4]], [[-2, 1]], [[-2, 2]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 20981614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 60, 'characteristic': True, 'core_order': 240, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 30, 'label': '240.82.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '240.82', 'subgroup_hash': 82, 'subgroup_order': 240, 'subgroup_tex': 'C_2^2:C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 20981625
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 120, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '120.47', 'subgroup_hash': 47, 'subgroup_order': 120, 'subgroup_tex': 'C_2^2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981636
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 120, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 20981647
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 120, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '120.31', 'subgroup_hash': 31, 'subgroup_order': 120, 'subgroup_tex': 'C_2\\times C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 20981658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': True, 'centralizer_order': 60, 'characteristic': True, 'core_order': 80, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 10, 'label': '240.82.3.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '80.21', 'subgroup_hash': 21, 'subgroup_order': 80, 'subgroup_tex': 'C_2^2:C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 20981669
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 60, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981679
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 60, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981680
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 60, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.4.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981681
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 30, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '240.82.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981615
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 30, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '240.82.4.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.13', 'subgroup_hash': 13, 'subgroup_order': 60, 'subgroup_tex': 'C_2\\times C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981616
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 30, 'counter': 11, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 20981617
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 30, 'counter': 12, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60.4', 'subgroup_hash': 4, 'subgroup_order': 60, 'subgroup_tex': 'C_{60}', 'supersolvable': True, 'sylow': 0}
  • id: 20981618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': True, 'centralizer_order': 60, 'characteristic': True, 'core_order': 48, 'counter': 13, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '240.82.5.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '5.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 5, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.21', 'subgroup_hash': 21, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 20981619
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 40, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '40.14', 'subgroup_hash': 14, 'subgroup_order': 40, 'subgroup_tex': 'C_2^2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981620
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 40, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 20981621
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 40, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '40.9', 'subgroup_hash': 9, 'subgroup_order': 40, 'subgroup_tex': 'C_2\\times C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 20981622
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 30, 'counter': 17, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981623
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 18, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981624
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 30, 'counter': 19, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.8.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981626
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 15, 'counter': 20, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981627
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 15, 'counter': 21, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.8.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '30.4', 'subgroup_hash': 4, 'subgroup_order': 30, 'subgroup_tex': 'C_{30}', 'supersolvable': True, 'sylow': 0}
  • id: 20981628
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 24, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.10.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981629
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 24, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.10.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 20981630
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 24, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.10.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 20981631
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 20, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981632
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 20, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981633
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 20, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.12.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981634
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '240.82.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981635
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '240.82.12.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.5', 'subgroup_hash': 5, 'subgroup_order': 20, 'subgroup_tex': 'C_2\\times C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981637
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 30, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 20981638
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 10, 'counter': 31, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.12.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20.2', 'subgroup_hash': 2, 'subgroup_order': 20, 'subgroup_tex': 'C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 20981639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': True, 'centralizer_order': 60, 'characteristic': True, 'core_order': 16, 'counter': 32, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '240.82.15.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '15.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '15.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 15, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{15}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 2}
  • id: 20981640
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 15, 'counter': 33, 'cyclic': True, 'direct': True, 'hall': 15, 'label': '240.82.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15.1', 'subgroup_hash': 1, 'subgroup_order': 15, 'subgroup_tex': 'C_{15}', 'supersolvable': True, 'sylow': 0}
  • id: 20981641
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 12, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{10}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981642
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 12, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.20.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981643
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 12, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.20.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '20.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '20.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981644
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 6, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '240.82.20.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981645
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 6, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '240.82.20.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981646
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 6, 'counter': 39, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.20.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 20981648
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 6, 'counter': 40, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.20.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '20.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 20981649
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 10, 'counter': 41, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981650
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 10, 'counter': 42, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981651
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 10, 'counter': 43, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.24.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981652
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 5, 'counter': 44, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981653
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 5, 'counter': 45, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.24.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10.2', 'subgroup_hash': 2, 'subgroup_order': 10, 'subgroup_tex': 'C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20981654
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': True, 'core_order': 8, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 20981655
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 8, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.30.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 20981656
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 8, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.30.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '30.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '30.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 30, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{30}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 20981657
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 6, 'counter': 49, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.9', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{20}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981659
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 50, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.40.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981660
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 6, 'counter': 51, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.40.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '40.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '40.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 40, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_5\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981661
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 3, 'counter': 52, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.40.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981662
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 3, 'counter': 53, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.40.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '40.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 20981663
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 5, 'counter': 54, 'cyclic': True, 'direct': True, 'hall': 5, 'label': '240.82.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{12}', 'simple': True, 'solvable': True, 'special_labels': ['C5'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': 1, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 5}
  • id: 20981664
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 4, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.13', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{30}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20981665
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 4, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.60.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20981666
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 4, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '240.82.60.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '60.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60.4', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 60, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{60}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20981667
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '240.82.60.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20981668
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '240.82.60.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20981670
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 60, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.60.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 20981671
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 2, 'counter': 61, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.60.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '60.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 20981672
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 3, 'counter': 62, 'cyclic': True, 'direct': True, 'hall': 3, 'label': '240.82.80.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '80.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '80.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 80, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{20}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 20981673
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 2, 'counter': 63, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '120.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.31', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 31, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_{60}', 'simple': True, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20981674
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 2, 'counter': 64, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.120.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{15}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20981675
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': False, 'core_order': 2, 'counter': 65, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '240.82.120.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '120.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '120.32', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 120, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_{15}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20981676
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 1, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.120.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20981677
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': False, 'central_factor': False, 'centralizer_order': 120, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '240.82.120.c1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '120.c1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20981678
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '240.82', 'ambient_counter': 82, 'ambient_order': 240, 'ambient_tex': 'C_2^2:C_{60}', 'central': True, 'central_factor': False, 'centralizer_order': 240, 'characteristic': True, 'core_order': 1, 'counter': 68, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '240.82.240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '240.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '240.82', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 82, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 240, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_{60}', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'L2', 'D2', 'C6'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 20981615
    {'ambient': '240.82', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.b1', '8.c1.a1', '8.c1.b1', '12.c1.b1', '20.c1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4490, -1, 1588, -1, 2825, -1, 4693, -1], 'generators': [1, 160, 48, 124], 'label': '240.82.4.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.c1.b1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981616
    {'ambient': '240.82', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '12.d1.a1', '20.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8612, -1, 8902, -1, 9773, -1, 6520, -1], 'generators': [2, 48, 4, 160], 'label': '240.82.4.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.d1.a1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981617
    {'ambient': '240.82', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '2.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.b1.b1', '12.d1.b1', '20.d1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8612, -1, 6682, -1, 9773, -1, 9772, -1], 'generators': [3, 48, 124, 160], 'label': '240.82.4.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '4.d1.b1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981614
    {'ambient': '240.82', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.a1.a1', 'complements': ['240.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '3.a1.a1', '5.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7843, 7232, 8183, 7791, 6390, 5771, 7240, 6425], 'generators': [1, 120, 160, 48, 2, 4], 'label': '240.82.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.b1', '2.b1.a1', '3.a1.a1', '5.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '4.2', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 20981618
    {'ambient': '240.82', 'aut_centralizer_order': 4, 'aut_label': '5.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.202', 'aut_weyl_index': 4, 'centralizer': '4.a1.a1', 'complements': ['48.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['10.a1.a1', '10.b1.a1', '10.b1.b1', '15.a1.a1'], 'core': '5.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9510, 9358, 9262, 9534, 5779, 4921, 7956, 7546], 'generators': [1, 120, 2, 160, 4], 'label': '240.82.5.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '5.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['10.a1.a1', '10.b1.b1', '10.b1.a1', '15.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '5.a1.a1', 'projective_image': '20.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 20981619
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.25', 'aut_weyl_index': 8, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.b1.b1', '12.c1.a1', '12.c1.b1', '30.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4266, 3299, 1944, 3225, 4974, 3799, 4030, 3032], 'generators': [1, 120, 48, 4], 'label': '240.82.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.b1', '12.b1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '12.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981620
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '2.b1.a1', 'complements': ['40.c1.a1', '40.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '30.b1.a1'], 'core': '6.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7796, 6772, 8231, 8158, 8955, 9344, 7000, 5978], 'generators': [2, 48, 4, 120], 'label': '240.82.6.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.a1', 'normal_contained_in': ['2.b1.a1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '30.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '12.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981621
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '2.b1.b1', 'complements': ['40.c1.a1', '40.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.b1', '30.b1.b1'], 'core': '6.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7796, 6772, 7405, 6859, 8955, 9344, 8671, 8596], 'generators': [3, 48, 124, 120], 'label': '240.82.6.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1.b1', 'normal_contained_in': ['2.b1.b1', '3.a1.a1'], 'normal_contains': ['12.a1.a1', '30.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '12.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981622
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.b1.b1'], 'contains': ['16.a1.a1', '24.a1.a1', '40.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1830, 2538, 4891, 2897, 2747, 3030, 1609, 1995], 'generators': [120, 48, 160], 'label': '240.82.8.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.b1', '4.b1.a1'], 'normal_contains': ['16.a1.a1', '24.a1.a1', '40.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '8.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981623
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.a1', '4.d1.a1'], 'contains': ['16.a1.a1', '24.b1.a1', '40.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6034, 4947, 6232, 5186, 5799, 7282, 6014, 4797], 'generators': [4, 48, 160], 'label': '240.82.8.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.b1.a1', '40.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '8.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981624
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.c1.b1', '4.d1.b1'], 'contains': ['16.a1.a1', '24.b1.b1', '40.b1.b1'], 'core': '8.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6034, 4947, 5570, 5752, 5799, 7282, 6973, 7111], 'generators': [124, 48, 160], 'label': '240.82.8.b1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '8.b1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.b1.b1', '40.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.b1', 'projective_image': '8.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.3', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981625
    {'ambient': '240.82', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.196', 'aut_weyl_index': 4, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.b1.b1', '4.c1.a1', '4.c1.b1', '6.a1.a1', '10.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5476, 4957, 3154, 3617, 4221, 3238, 4361, 3545], 'generators': [1, 120, 160, 4, 48], 'label': '240.82.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.b1', '4.b1.a1', '6.a1.a1', '10.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981626
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.c1.a1', '4.c1.b1'], 'contains': ['16.a1.a1', '24.c1.a1', '40.c1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [796, -1, 2811, -1, 227, -1, 2568, -1], 'generators': [1, 48, 160], 'label': '240.82.8.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981627
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '4.c1.a1', '4.c1.b1'], 'contains': ['16.a1.a1', '24.c1.b1', '40.c1.b1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [796, -1, 767, -1, 227, -1, 756, -1], 'generators': [5, 48, 160], 'label': '240.82.8.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.c1.b1', 'projective_image': '16.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981628
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '10.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.b1.a1', '20.b1.b1', '20.c1.a1', '20.c1.b1', '30.a1.a1'], 'core': '10.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7055, 6816, 3224, 4016, 3864, 2252, 5302, 4052], 'generators': [1, 4, 120, 160], 'label': '240.82.10.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.a1.a1', 'normal_contained_in': ['2.a1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '20.b1.b1', '20.b1.a1', '30.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.a1.a1', 'projective_image': '20.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981629
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 32, 'centralizer': '2.b1.a1', 'complements': ['24.c1.a1', '24.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.d1.a1', '30.b1.a1'], 'core': '10.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9762, 8915, 9421, 9366, 7896, 7870, 7621, 6950], 'generators': [2, 120, 160, 4], 'label': '240.82.10.b1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.a1', 'normal_contained_in': ['2.b1.a1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '30.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.a1', 'projective_image': '20.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981630
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '10.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 32, 'centralizer': '2.b1.b1', 'complements': ['24.c1.a1', '24.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '5.a1.a1'], 'contains': ['20.a1.a1', '20.d1.b1', '30.b1.b1'], 'core': '10.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9762, 8915, 7766, 8068, 7896, 7870, 9292, 9568], 'generators': [3, 120, 160, 124], 'label': '240.82.10.b1.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '10.b1.b1', 'normal_contained_in': ['2.b1.b1', '5.a1.a1'], 'normal_contains': ['20.a1.a1', '30.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '10.b1.b1', 'projective_image': '20.5', 'quotient_action_image': '2.1', 'quotient_action_kernel': '5.1', 'quotient_action_kernel_order': 5, 'quotient_fusion': None, 'short_label': '10.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981631
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '12.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.b1.b1', '60.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4925, 3707, 6236, 6569, 7500, 6142, 6494, 5549], 'generators': [4, 48, 120], 'label': '240.82.12.a1.a1', 'mobius_quo': -2, 'mobius_sub': -2, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.b1', '6.b1.a1'], 'normal_contains': ['24.b1.b1', '24.b1.a1', '24.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981632
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': ['20.d1.a1', '20.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.c1.a1', '60.b1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [626, 642, 3857, 1515, 1929, 1891, 2088, 432], 'generators': [1, 48, 120], 'label': '240.82.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '24.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981633
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': ['20.d1.a1', '20.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '6.a1.a1'], 'contains': ['24.a1.a1', '24.c1.b1', '60.b1.b1'], 'core': '12.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [626, 642, 1944, 466, 1929, 1891, 276, 2746], 'generators': [5, 48, 120], 'label': '240.82.12.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': ['4.b1.b1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '60.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.b1', 'projective_image': '24.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981634
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.c1.a1', '24.c1.b1', '60.c1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3551, -1, 297, -1, 4448, -1, 3566, -1], 'generators': [1, 48, 4], 'label': '240.82.12.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '24.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981635
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '6.a1.a1'], 'contains': ['24.b1.b1', '24.c1.a1', '24.c1.b1', '60.c1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3551, -1, 963, -1, 4448, -1, 4186, -1], 'generators': [1, 48, 124], 'label': '240.82.12.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.c1.b1', 'projective_image': '24.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981636
    {'ambient': '240.82', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 8, 'centralizer': '2.b1.a1', 'complements': ['120.c1.a1', '120.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '6.b1.a1', '10.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8183, 7676, 8644, 8479, 8143, 8213, 6570, 5376], 'generators': [2, 160, 48, 120, 4], 'label': '240.82.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.b1.a1', '10.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981637
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '60.d1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8129, -1, 8750, -1, 9773, -1, 7826, -1], 'generators': [2, 4, 48], 'label': '240.82.12.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.d1.a1', 'projective_image': '24.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981638
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '2.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '6.b1.b1'], 'contains': ['24.b1.b1', '60.d1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8129, -1, 7454, -1, 9773, -1, 9532, -1], 'generators': [3, 124, 48], 'label': '240.82.12.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '12.d1.b1', 'projective_image': '24.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981639
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '15.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.27', 'aut_weyl_index': 8, 'centralizer': '4.a1.a1', 'complements': ['16.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '5.a1.a1'], 'contains': ['30.a1.a1', '30.b1.a1', '30.b1.b1'], 'core': '15.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8625, 8694, 8644, 9206, 7000, 6622, 8146, 7773], 'generators': [1, 2], 'label': '240.82.15.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '15.a1.a1', 'normal_contained_in': ['3.a1.a1', '5.a1.a1'], 'normal_contains': ['30.a1.a1', '30.b1.b1', '30.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '15.a1.a1', 'projective_image': '60.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '15.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 20981640
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '16.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.2', 'aut_weyl_index': 32, 'centralizer': '1.a1.a1', 'complements': ['15.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '8.c1.a1', '8.c1.b1'], 'contains': ['48.a1.a1', '80.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1742, 3884, 5267, 4421, 2948, 4107, 3265, 4261], 'generators': [160, 48], 'label': '240.82.16.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.b1.b1', '8.b1.a1', '8.a1.a1'], 'normal_contains': ['48.a1.a1', '80.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '16.3', 'quotient_action_image': '1.1', 'quotient_action_kernel': '16.3', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981641
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '20.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.a1', '10.b1.b1'], 'contains': ['40.a1.a1', '40.b1.a1', '40.b1.b1', '60.a1.a1'], 'core': '20.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7714, 7073, 7278, 6955, 6526, 4785, 7400, 6443], 'generators': [4, 120, 160], 'label': '240.82.20.a1.a1', 'mobius_quo': -2, 'mobius_sub': -2, 'normal_closure': '20.a1.a1', 'normal_contained_in': ['4.a1.a1', '10.a1.a1', '10.b1.b1', '10.b1.a1'], 'normal_contains': ['40.b1.b1', '40.b1.a1', '40.a1.a1', '60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.a1.a1', 'projective_image': '20.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '20.5', 'quotient_action_kernel_order': 20, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981642
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '2.a1.a1', 'complements': ['12.d1.a1', '12.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.c1.a1', '60.b1.a1'], 'core': '20.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3020, 2422, 4082, 2968, 955, 534, 2995, 1327], 'generators': [1, 120, 160], 'label': '240.82.20.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': ['4.b1.a1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.a1', 'projective_image': '40.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981643
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '20.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '2.a1.a1', 'complements': ['12.d1.a1', '12.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.b1', '10.a1.a1'], 'contains': ['40.a1.a1', '40.c1.b1', '60.b1.b1'], 'core': '20.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3020, 2422, 3215, 871, 955, 534, 1182, 3640], 'generators': [5, 120, 160], 'label': '240.82.20.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': ['4.b1.b1', '10.a1.a1'], 'normal_contains': ['40.a1.a1', '60.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '20.b1.b1', 'projective_image': '40.9', 'quotient_action_image': '2.1', 'quotient_action_kernel': '10.2', 'quotient_action_kernel_order': 10, 'quotient_fusion': None, 'short_label': '20.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981644
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '10.a1.a1'], 'contains': ['40.b1.a1', '40.c1.a1', '40.c1.b1', '60.c1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5496, -1, 861, -1, 3474, -1, 4757, -1], 'generators': [1, 4, 160], 'label': '240.82.20.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '20.c1.a1', 'projective_image': '40.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981645
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '20.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.b1', '10.a1.a1'], 'contains': ['40.b1.b1', '40.c1.a1', '40.c1.b1', '60.c1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5496, -1, 2349, -1, 3474, -1, 5587, -1], 'generators': [1, 124, 160], 'label': '240.82.20.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '20.c1.b1', 'projective_image': '40.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981646
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '10.b1.a1'], 'contains': ['40.b1.a1', '60.d1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9442, -1, 9703, -1, 9201, -1, 8161, -1], 'generators': [2, 160, 4], 'label': '240.82.20.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '20.d1.a1', 'projective_image': '40.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981647
    {'ambient': '240.82', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 8, 'centralizer': '2.b1.b1', 'complements': ['120.c1.a1', '120.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.b1', '6.b1.b1', '10.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8183, 7676, 7405, 6820, 8143, 8213, 8671, 8596], 'generators': [3, 160, 48, 120, 124], 'label': '240.82.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '6.b1.b1', '10.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '4.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981648
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '20.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '2.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '10.b1.b1'], 'contains': ['40.b1.b1', '60.d1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [9442, -1, 7892, -1, 9201, -1, 9867, -1], 'generators': [3, 160, 124], 'label': '240.82.20.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '10.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '20.d1.b1', 'projective_image': '40.10', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981649
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.b1.b1'], 'contains': ['48.a1.a1', '120.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1565, 1315, 4646, 2318, 3987, 3311, 2656, 2758], 'generators': [120, 48], 'label': '240.82.24.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.b1', '12.b1.a1'], 'normal_contains': ['48.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '24.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981650
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.c1.a1', '12.d1.a1'], 'contains': ['48.a1.a1', '120.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4368, 4770, 6421, 5077, 5844, 6296, 5717, 4785], 'generators': [4, 48], 'label': '240.82.24.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '24.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.10', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981651
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '4.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '12.a1.a1', '12.c1.b1', '12.d1.b1'], 'contains': ['48.a1.a1', '120.b1.b1'], 'core': '24.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4368, 4770, 5705, 6376, 5844, 6296, 6345, 5739], 'generators': [124, 48], 'label': '240.82.24.b1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '24.b1.b1', 'normal_contained_in': ['8.b1.b1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.b1', 'projective_image': '24.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '24.10', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '24.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981652
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 64, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.b1.a1', '12.c1.a1', '12.c1.b1'], 'contains': ['48.a1.a1', '120.c1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [238, -1, 1424, -1, 1844, -1, 3874, -1], 'generators': [1, 48], 'label': '240.82.24.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '48.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981653
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.1', 'aut_weyl_index': 64, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '12.b1.b1', '12.c1.a1', '12.c1.b1'], 'contains': ['48.a1.a1', '120.c1.b1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [238, -1, 341, -1, 1844, -1, 2008, -1], 'generators': [5, 48], 'label': '240.82.24.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.c1.b1', 'projective_image': '48.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981654
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '30.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.3', 'aut_weyl_index': 32, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '10.a1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.b1.a1', '60.b1.b1', '60.c1.a1', '60.c1.b1'], 'core': '30.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5721, 5886, 2459, 3933, 5247, 3799, 5172, 4290], 'generators': [1, 4, 120], 'label': '240.82.30.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.a1.a1', 'normal_contained_in': ['6.a1.a1', '10.a1.a1', '15.a1.a1'], 'normal_contains': ['60.a1.a1', '60.b1.b1', '60.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.a1.a1', 'projective_image': '60.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981655
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '2.b1.a1', 'complements': ['8.c1.a1', '8.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '10.b1.a1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.d1.a1'], 'core': '30.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8898, 8348, 9066, 9141, 8474, 8295, 8587, 7779], 'generators': [2, 120], 'label': '240.82.30.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.b1.a1', 'normal_contained_in': ['6.b1.a1', '10.b1.a1', '15.a1.a1'], 'normal_contains': ['60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.b1.a1', 'projective_image': '60.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981656
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '30.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 64, 'centralizer': '2.b1.b1', 'complements': ['8.c1.a1', '8.c1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['6.b1.b1', '10.b1.b1', '15.a1.a1'], 'contains': ['60.a1.a1', '60.d1.b1'], 'core': '30.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8898, 8348, 8509, 8138, 8474, 8295, 9105, 8596], 'generators': [3, 120], 'label': '240.82.30.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '30.b1.b1', 'normal_contained_in': ['6.b1.b1', '10.b1.b1', '15.a1.a1'], 'normal_contains': ['60.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '30.b1.b1', 'projective_image': '60.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '15.1', 'quotient_action_kernel_order': 15, 'quotient_fusion': None, 'short_label': '30.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981657
    {'ambient': '240.82', 'aut_centralizer_order': 128, 'aut_label': '40.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.a1', '20.b1.b1'], 'contains': ['80.a1.a1', '120.a1.a1'], 'core': '40.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3755, 3344, 4989, 2877, 3468, 2587, 3569, 3277], 'generators': [120, 160], 'label': '240.82.40.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.a1.a1', 'normal_contained_in': ['8.a1.a1', '20.a1.a1', '20.b1.b1', '20.b1.a1'], 'normal_contains': ['80.a1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.a1.a1', 'projective_image': '40.9', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.9', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981658
    {'ambient': '240.82', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.1031', 'aut_weyl_index': 2, 'centralizer': '4.a1.a1', 'complements': ['80.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1', '15.a1.a1'], 'core': '3.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7157, 6701, 8183, 7791, 7000, 6622, 7240, 6425], 'generators': [1, 48, 4, 2, 120], 'label': '240.82.3.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['6.a1.a1', '6.b1.b1', '6.b1.a1', '15.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '12.5', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 20981659
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '40.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '20.a1.a1', '20.c1.a1', '20.d1.a1'], 'contains': ['80.a1.a1', '120.b1.a1'], 'core': '40.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7197, 6763, 7368, 5829, 5325, 5572, 6021, 5262], 'generators': [4, 160], 'label': '240.82.40.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.b1.a1', 'normal_contained_in': ['8.b1.a1', '20.a1.a1'], 'normal_contains': ['80.a1.a1', '120.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.a1', 'projective_image': '40.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.10', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981660
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '40.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.b1', '20.a1.a1', '20.c1.b1', '20.d1.b1'], 'contains': ['80.a1.a1', '120.b1.b1'], 'core': '40.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7197, 6763, 6146, 6293, 5325, 5572, 6969, 6705], 'generators': [124, 160], 'label': '240.82.40.b1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '40.b1.b1', 'normal_contained_in': ['8.b1.b1', '20.a1.a1'], 'normal_contains': ['80.a1.a1', '120.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '40.b1.b1', 'projective_image': '40.10', 'quotient_action_image': '1.1', 'quotient_action_kernel': '40.10', 'quotient_action_kernel_order': 40, 'quotient_fusion': None, 'short_label': '40.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981661
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '20.b1.a1', '20.c1.a1', '20.c1.b1'], 'contains': ['80.a1.a1', '120.c1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3265, -1, 3436, -1, 1325, -1, 4491, -1], 'generators': [1, 160], 'label': '240.82.40.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.c1.a1', 'projective_image': '80.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981662
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '40.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.b1', '20.b1.b1', '20.c1.a1', '20.c1.b1'], 'contains': ['80.a1.a1', '120.c1.b1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3265, -1, 1114, -1, 1325, -1, 2960, -1], 'generators': [5, 160], 'label': '240.82.40.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '20.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '40.c1.b1', 'projective_image': '80.21', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981663
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.1', 'aut_weyl_index': 64, 'centralizer': '1.a1.a1', 'complements': ['5.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.b1.b1', '24.c1.a1', '24.c1.b1'], 'contains': ['240.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1136, 4406, 4368, 4473, 3468, 4686, 3668, 4404], 'generators': [48], 'label': '240.82.48.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.b1.b1', '24.b1.a1', '24.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '48.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.21', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981664
    {'ambient': '240.82', 'aut_centralizer_order': 128, 'aut_label': '60.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1', '30.b1.a1', '30.b1.b1'], 'contains': ['120.a1.a1', '120.b1.a1', '120.b1.b1'], 'core': '60.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6334, 6754, 6744, 7218, 6442, 4876, 6668, 6246], 'generators': [4, 120], 'label': '240.82.60.a1.a1', 'mobius_quo': 2, 'mobius_sub': 2, 'normal_closure': '60.a1.a1', 'normal_contained_in': ['12.a1.a1', '20.a1.a1', '30.a1.a1', '30.b1.b1', '30.b1.a1'], 'normal_contains': ['120.b1.b1', '120.b1.a1', '120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.a1.a1', 'projective_image': '60.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '60.13', 'quotient_action_kernel_order': 60, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981665
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '2.a1.a1', 'complements': ['4.d1.a1', '4.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '20.b1.a1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.c1.a1'], 'core': '60.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2170, 2219, 3661, 2794, 2396, 1891, 4197, 1798], 'generators': [1, 120], 'label': '240.82.60.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.b1.a1', 'normal_contained_in': ['12.b1.a1', '20.b1.a1', '30.a1.a1'], 'normal_contains': ['120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.a1', 'projective_image': '120.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981666
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '60.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '2.a1.a1', 'complements': ['4.d1.a1', '4.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['12.b1.b1', '20.b1.b1', '30.a1.a1'], 'contains': ['120.a1.a1', '120.c1.b1'], 'core': '60.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2170, 2219, 2615, 1084, 2396, 1891, 2332, 3736], 'generators': [5, 120], 'label': '240.82.60.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '60.b1.b1', 'normal_contained_in': ['12.b1.b1', '20.b1.b1', '30.a1.a1'], 'normal_contains': ['120.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '60.b1.b1', 'projective_image': '120.31', 'quotient_action_image': '2.1', 'quotient_action_kernel': '30.4', 'quotient_action_kernel_order': 30, 'quotient_fusion': None, 'short_label': '60.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981667
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '20.c1.a1', '30.a1.a1'], 'contains': ['120.b1.a1', '120.c1.a1', '120.c1.b1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5054, -1, 1069, -1, 4539, -1, 4784, -1], 'generators': [1, 4], 'label': '240.82.60.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '60.c1.a1', 'projective_image': '120.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981668
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '60.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.b1', '20.c1.b1', '30.a1.a1'], 'contains': ['120.b1.b1', '120.c1.a1', '120.c1.b1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5054, -1, 1670, -1, 4539, -1, 5146, -1], 'generators': [1, 124], 'label': '240.82.60.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '60.c1.b1', 'projective_image': '120.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981669
    {'ambient': '240.82', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.b1.b1', '12.a1.a1', '20.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5884, 4957, 5983, 5842, 6104, 5373, 6040, 5006], 'generators': [4, 160, 48, 120], 'label': '240.82.4.a1.a1', 'mobius_quo': 2, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.b1', '2.b1.a1'], 'normal_contains': ['8.b1.b1', '8.b1.a1', '8.a1.a1', '12.a1.a1', '20.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '4.2', 'quotient_action_image': '1.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981670
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '20.d1.a1', '30.b1.a1'], 'contains': ['120.b1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8517, -1, 9290, -1, 8838, -1, 7994, -1], 'generators': [2], 'label': '240.82.60.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '60.d1.a1', 'projective_image': '120.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981671
    {'ambient': '240.82', 'aut_centralizer_order': 32, 'aut_label': '60.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '2.b1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.b1', '20.d1.b1', '30.b1.b1'], 'contains': ['120.b1.b1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8517, -1, 7999, -1, 8838, -1, 9319, -1], 'generators': [3], 'label': '240.82.60.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '30.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '60.d1.b1', 'projective_image': '120.32', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.d1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981672
    {'ambient': '240.82', 'aut_centralizer_order': 128, 'aut_label': '80.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 128, 'centralizer': '1.a1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '40.a1.a1', '40.b1.a1', '40.b1.b1', '40.c1.a1', '40.c1.b1'], 'contains': ['240.a1.a1'], 'core': '80.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3408, 3893, 5059, 4949, 3000, 4034, 4217, 4833], 'generators': [160], 'label': '240.82.80.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '80.a1.a1', 'normal_contained_in': ['16.a1.a1', '40.b1.b1', '40.b1.a1', '40.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '80.a1.a1', 'projective_image': '80.21', 'quotient_action_image': '1.1', 'quotient_action_kernel': '80.21', 'quotient_action_kernel_order': 80, 'quotient_fusion': None, 'short_label': '80.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981673
    {'ambient': '240.82', 'aut_centralizer_order': 256, 'aut_label': '120.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 256, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.b1.a1', '60.b1.b1'], 'contains': ['240.a1.a1'], 'core': '120.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3653, 2786, 4593, 2980, 3935, 3311, 3943, 3509], 'generators': [120], 'label': '240.82.120.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '120.a1.a1', 'normal_contained_in': ['24.a1.a1', '40.a1.a1', '60.a1.a1', '60.b1.b1', '60.b1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.a1.a1', 'projective_image': '120.31', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.31', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981674
    {'ambient': '240.82', 'aut_centralizer_order': 128, 'aut_label': '120.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 256, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '40.b1.a1', '60.a1.a1', '60.c1.a1', '60.d1.a1'], 'contains': ['240.a1.a1'], 'core': '120.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5993, 5682, 6887, 5681, 5584, 5455, 5869, 5262], 'generators': [4], 'label': '240.82.120.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '120.b1.a1', 'normal_contained_in': ['24.b1.a1', '40.b1.a1', '60.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.a1', 'projective_image': '120.32', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.32', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981675
    {'ambient': '240.82', 'aut_centralizer_order': 128, 'aut_label': '120.b1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 256, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.b1', '40.b1.b1', '60.a1.a1', '60.c1.b1', '60.d1.b1'], 'contains': ['240.a1.a1'], 'core': '120.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5993, 5682, 5991, 6537, 5584, 5455, 6505, 5990], 'generators': [124], 'label': '240.82.120.b1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '120.b1.b1', 'normal_contained_in': ['24.b1.b1', '40.b1.b1', '60.a1.a1'], 'normal_contains': ['240.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '120.b1.b1', 'projective_image': '120.32', 'quotient_action_image': '1.1', 'quotient_action_kernel': '120.32', 'quotient_action_kernel_order': 120, 'quotient_fusion': None, 'short_label': '120.b1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981676
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 256, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '40.c1.a1', '60.b1.a1', '60.c1.a1', '60.c1.b1'], 'contains': ['240.a1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2775, -1, 2639, -1, 2396, -1, 4491, -1], 'generators': [1], 'label': '240.82.120.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.c1.a1', 'projective_image': '240.82', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981677
    {'ambient': '240.82', 'aut_centralizer_order': 64, 'aut_label': '120.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 256, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1.b1', '40.c1.b1', '60.b1.b1', '60.c1.a1', '60.c1.b1'], 'contains': ['240.a1.a1'], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2775, -1, 1037, -1, 2396, -1, 3177, -1], 'generators': [5], 'label': '240.82.120.c1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '60.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '120.c1.b1', 'projective_image': '240.82', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.c1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981678
    {'ambient': '240.82', 'aut_centralizer_order': None, 'aut_label': '240.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '80.a1.a1', '120.a1.a1', '120.b1.a1', '120.b1.b1', '120.c1.a1', '120.c1.b1'], 'contains': [], 'core': '240.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3279, 4071, 4593, 4949, 3468, 4360, 4217, 4833], 'generators': [], 'label': '240.82.240.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '240.a1.a1', 'normal_contained_in': ['48.a1.a1', '80.a1.a1', '120.b1.b1', '120.b1.a1', '120.a1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '240.a1.a1', 'projective_image': '240.82', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 20981679
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': ['60.d1.a1', '60.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.c1.a1', '12.b1.a1', '20.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1572, 2148, 3960, 2267, 1766, 805, 2568, 1023], 'generators': [1, 160, 48, 120], 'label': '240.82.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.b1.a1', '20.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '8.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981680
    {'ambient': '240.82', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': ['60.d1.a1', '60.d1.b1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.a1.a1', '8.c1.b1', '12.b1.b1', '20.b1.b1'], 'core': '4.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1572, 2148, 2945, 988, 1766, 805, 1182, 1995], 'generators': [5, 160, 48, 120], 'label': '240.82.4.b1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.b1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.a1.a1', '12.b1.b1', '20.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.b1', 'projective_image': '8.2', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 20981681
    {'ambient': '240.82', 'aut_centralizer_order': 4, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 16, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.c1.a1', '8.c1.b1', '12.c1.a1', '20.c1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4490, -1, 893, -1, 2825, -1, 3368, -1], 'generators': [1, 160, 48, 4], 'label': '240.82.4.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '8.3', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}